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Finding the Third Proportional to 482,553 and 709,779

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Solution

The third proportional to 482,553 and 709,779 is: 1,044,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,553 : 709,779 = 709,779 : x
  2. Step 2: Convert to fraction form
    482,553/709,779 = 709,779/x
  3. Step 3: Cross multiply
    482,553x = 709,779 × 709,779
  4. Step 4: Simplify right side
    482,553x = 503,786,228,841
  5. Step 5: Solve for x
    x = 503,786,228,841/482,553
  6. Step 6: Final answer
    x = 1,044,001.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.