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Finding the Third Proportional to 491,464 and 660,434

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Solution

The third proportional to 491,464 and 660,434 is: 887,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,464 : 660,434 = 660,434 : x
  2. Step 2: Convert to fraction form
    491,464/660,434 = 660,434/x
  3. Step 3: Cross multiply
    491,464x = 660,434 × 660,434
  4. Step 4: Simplify right side
    491,464x = 436,173,068,356
  5. Step 5: Solve for x
    x = 436,173,068,356/491,464
  6. Step 6: Final answer
    x = 887,497.49

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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.