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Finding the Third Proportional to 229,394 and 539,714

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Solution

The third proportional to 229,394 and 539,714 is: 1,269,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,394 : 539,714 = 539,714 : x
  2. Step 2: Convert to fraction form
    229,394/539,714 = 539,714/x
  3. Step 3: Cross multiply
    229,394x = 539,714 × 539,714
  4. Step 4: Simplify right side
    229,394x = 291,291,201,796
  5. Step 5: Solve for x
    x = 291,291,201,796/229,394
  6. Step 6: Final answer
    x = 1,269,829.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.