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Finding the Third Proportional to 435,908 and 654,297

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Solution

The third proportional to 435,908 and 654,297 is: 982,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,908 : 654,297 = 654,297 : x
  2. Step 2: Convert to fraction form
    435,908/654,297 = 654,297/x
  3. Step 3: Cross multiply
    435,908x = 654,297 × 654,297
  4. Step 4: Simplify right side
    435,908x = 428,104,564,209
  5. Step 5: Solve for x
    x = 428,104,564,209/435,908
  6. Step 6: Final answer
    x = 982,098.43

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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.