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Finding the Third Proportional to 335,531 and 709,927

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Solution

The third proportional to 335,531 and 709,927 is: 1,502,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,531 : 709,927 = 709,927 : x
  2. Step 2: Convert to fraction form
    335,531/709,927 = 709,927/x
  3. Step 3: Cross multiply
    335,531x = 709,927 × 709,927
  4. Step 4: Simplify right side
    335,531x = 503,996,345,329
  5. Step 5: Solve for x
    x = 503,996,345,329/335,531
  6. Step 6: Final answer
    x = 1,502,085.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.