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Finding the Third Proportional to 317,562 and 491,495

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Solution

The third proportional to 317,562 and 491,495 is: 760,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,562 : 491,495 = 491,495 : x
  2. Step 2: Convert to fraction form
    317,562/491,495 = 491,495/x
  3. Step 3: Cross multiply
    317,562x = 491,495 × 491,495
  4. Step 4: Simplify right side
    317,562x = 241,567,335,025
  5. Step 5: Solve for x
    x = 241,567,335,025/317,562
  6. Step 6: Final answer
    x = 760,693.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.