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Finding the Third Proportional to 498,114 and 778,275

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Solution

The third proportional to 498,114 and 778,275 is: 1,216,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,114 : 778,275 = 778,275 : x
  2. Step 2: Convert to fraction form
    498,114/778,275 = 778,275/x
  3. Step 3: Cross multiply
    498,114x = 778,275 × 778,275
  4. Step 4: Simplify right side
    498,114x = 605,711,975,625
  5. Step 5: Solve for x
    x = 605,711,975,625/498,114
  6. Step 6: Final answer
    x = 1,216,010.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.