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Finding the Third Proportional to 413,103 and 655,294.50

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Solution

The third proportional to 413,103 and 655,294.50 is: 1,039,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,103 : 655,294.50 = 655,294.50 : x
  2. Step 2: Convert to fraction form
    413,103/655,294.50 = 655,294.50/x
  3. Step 3: Cross multiply
    413,103x = 655,294.50 × 655,294.50
  4. Step 4: Simplify right side
    413,103x = 429,410,881,730.25
  5. Step 5: Solve for x
    x = 429,410,881,730.25/413,103
  6. Step 6: Final answer
    x = 1,039,476.55

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