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Finding the Third Proportional to 407,494 and 645,105

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Solution

The third proportional to 407,494 and 645,105 is: 1,021,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,494 : 645,105 = 645,105 : x
  2. Step 2: Convert to fraction form
    407,494/645,105 = 645,105/x
  3. Step 3: Cross multiply
    407,494x = 645,105 × 645,105
  4. Step 4: Simplify right side
    407,494x = 416,160,461,025
  5. Step 5: Solve for x
    x = 416,160,461,025/407,494
  6. Step 6: Final answer
    x = 1,021,267.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.