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Finding the Third Proportional to 296,499 and 652,047

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Solution

The third proportional to 296,499 and 652,047 is: 1,433,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,499 : 652,047 = 652,047 : x
  2. Step 2: Convert to fraction form
    296,499/652,047 = 652,047/x
  3. Step 3: Cross multiply
    296,499x = 652,047 × 652,047
  4. Step 4: Simplify right side
    296,499x = 425,165,290,209
  5. Step 5: Solve for x
    x = 425,165,290,209/296,499
  6. Step 6: Final answer
    x = 1,433,951.85

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