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Finding the Third Proportional to 491,469 and 660,429

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Solution

The third proportional to 491,469 and 660,429 is: 887,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,469 : 660,429 = 660,429 : x
  2. Step 2: Convert to fraction form
    491,469/660,429 = 660,429/x
  3. Step 3: Cross multiply
    491,469x = 660,429 × 660,429
  4. Step 4: Simplify right side
    491,469x = 436,166,464,041
  5. Step 5: Solve for x
    x = 436,166,464,041/491,469
  6. Step 6: Final answer
    x = 887,475.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.