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Finding the Third Proportional to 317,565 and 491,499.50

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Solution

The third proportional to 317,565 and 491,499.50 is: 760,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,565 : 491,499.50 = 491,499.50 : x
  2. Step 2: Convert to fraction form
    317,565/491,499.50 = 491,499.50/x
  3. Step 3: Cross multiply
    317,565x = 491,499.50 × 491,499.50
  4. Step 4: Simplify right side
    317,565x = 241,571,758,500.25
  5. Step 5: Solve for x
    x = 241,571,758,500.25/317,565
  6. Step 6: Final answer
    x = 760,700.20

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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.