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Finding the Third Proportional to 434,331 and 654,913.13

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Solution

The third proportional to 434,331 and 654,913.13 is: 987,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,331 : 654,913.13 = 654,913.13 : x
  2. Step 2: Convert to fraction form
    434,331/654,913.13 = 654,913.13/x
  3. Step 3: Cross multiply
    434,331x = 654,913.13 × 654,913.13
  4. Step 4: Simplify right side
    434,331x = 428,911,201,297.27
  5. Step 5: Solve for x
    x = 428,911,201,297.27/434,331
  6. Step 6: Final answer
    x = 987,521.50

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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.