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Finding the Third Proportional to 415,370 and 645,087

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Solution

The third proportional to 415,370 and 645,087 is: 1,001,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,370 : 645,087 = 645,087 : x
  2. Step 2: Convert to fraction form
    415,370/645,087 = 645,087/x
  3. Step 3: Cross multiply
    415,370x = 645,087 × 645,087
  4. Step 4: Simplify right side
    415,370x = 416,137,237,569
  5. Step 5: Solve for x
    x = 416,137,237,569/415,370
  6. Step 6: Final answer
    x = 1,001,847.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.