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Finding the Third Proportional to 297,514 and 653,996

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Solution

The third proportional to 297,514 and 653,996 is: 1,437,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,514 : 653,996 = 653,996 : x
  2. Step 2: Convert to fraction form
    297,514/653,996 = 653,996/x
  3. Step 3: Cross multiply
    297,514x = 653,996 × 653,996
  4. Step 4: Simplify right side
    297,514x = 427,710,768,016
  5. Step 5: Solve for x
    x = 427,710,768,016/297,514
  6. Step 6: Final answer
    x = 1,437,615.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.