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Finding the Third Proportional to 353,881,276.50 and 530,821,970.25

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Solution

The third proportional to 353,881,276.50 and 530,821,970.25 is: 796,233,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,881,276.50 : 530,821,970.25 = 530,821,970.25 : x
  2. Step 2: Convert to fraction form
    353,881,276.50/530,821,970.25 = 530,821,970.25/x
  3. Step 3: Cross multiply
    353,881,276.50x = 530,821,970.25 × 530,821,970.25
  4. Step 4: Simplify right side
    353,881,276.50x = 281,771,964,100,091,872
  5. Step 5: Solve for x
    x = 281,771,964,100,091,872/353,881,276.50
  6. Step 6: Final answer
    x = 796,233,038.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.