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Finding the Third Proportional to 473,496 and 637,948

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Solution

The third proportional to 473,496 and 637,948 is: 859,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,496 : 637,948 = 637,948 : x
  2. Step 2: Convert to fraction form
    473,496/637,948 = 637,948/x
  3. Step 3: Cross multiply
    473,496x = 637,948 × 637,948
  4. Step 4: Simplify right side
    473,496x = 406,977,650,704
  5. Step 5: Solve for x
    x = 406,977,650,704/473,496
  6. Step 6: Final answer
    x = 859,516.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.