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Finding the Third Proportional to 297,169 and 648,499

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Solution

The third proportional to 297,169 and 648,499 is: 1,415,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,169 : 648,499 = 648,499 : x
  2. Step 2: Convert to fraction form
    297,169/648,499 = 648,499/x
  3. Step 3: Cross multiply
    297,169x = 648,499 × 648,499
  4. Step 4: Simplify right side
    297,169x = 420,550,953,001
  5. Step 5: Solve for x
    x = 420,550,953,001/297,169
  6. Step 6: Final answer
    x = 1,415,191.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.