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Finding the Third Proportional to 432,135.75 and 654,166.13

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Solution

The third proportional to 432,135.75 and 654,166.13 is: 990,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,135.75 : 654,166.13 = 654,166.13 : x
  2. Step 2: Convert to fraction form
    432,135.75/654,166.13 = 654,166.13/x
  3. Step 3: Cross multiply
    432,135.75x = 654,166.13 × 654,166.13
  4. Step 4: Simplify right side
    432,135.75x = 427,933,319,097.52
  5. Step 5: Solve for x
    x = 427,933,319,097.52/432,135.75
  6. Step 6: Final answer
    x = 990,275.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.