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Finding the Third Proportional to 473,484 and 637,932

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Solution

The third proportional to 473,484 and 637,932 is: 859,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,484 : 637,932 = 637,932 : x
  2. Step 2: Convert to fraction form
    473,484/637,932 = 637,932/x
  3. Step 3: Cross multiply
    473,484x = 637,932 × 637,932
  4. Step 4: Simplify right side
    473,484x = 406,957,236,624
  5. Step 5: Solve for x
    x = 406,957,236,624/473,484
  6. Step 6: Final answer
    x = 859,495.22

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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.