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Finding the Third Proportional to 517,386 and 772,891.50

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Solution

The third proportional to 517,386 and 772,891.50 is: 1,154,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,386 : 772,891.50 = 772,891.50 : x
  2. Step 2: Convert to fraction form
    517,386/772,891.50 = 772,891.50/x
  3. Step 3: Cross multiply
    517,386x = 772,891.50 × 772,891.50
  4. Step 4: Simplify right side
    517,386x = 597,361,270,772.25
  5. Step 5: Solve for x
    x = 597,361,270,772.25/517,386
  6. Step 6: Final answer
    x = 1,154,575.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.