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Finding the Third Proportional to 357,871.50 and 757,157.63

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Solution

The third proportional to 357,871.50 and 757,157.63 is: 1,601,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,871.50 : 757,157.63 = 757,157.63 : x
  2. Step 2: Convert to fraction form
    357,871.50/757,157.63 = 757,157.63/x
  3. Step 3: Cross multiply
    357,871.50x = 757,157.63 × 757,157.63
  4. Step 4: Simplify right side
    357,871.50x = 573,287,669,095.64
  5. Step 5: Solve for x
    x = 573,287,669,095.64/357,871.50
  6. Step 6: Final answer
    x = 1,601,937.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.