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Finding the Third Proportional to 295,219.50 and 469,980

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Solution

The third proportional to 295,219.50 and 469,980 is: 748,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,219.50 : 469,980 = 469,980 : x
  2. Step 2: Convert to fraction form
    295,219.50/469,980 = 469,980/x
  3. Step 3: Cross multiply
    295,219.50x = 469,980 × 469,980
  4. Step 4: Simplify right side
    295,219.50x = 220,881,200,400
  5. Step 5: Solve for x
    x = 220,881,200,400/295,219.50
  6. Step 6: Final answer
    x = 748,193.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.