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Finding the Third Proportional to 524,646 and 810,154.50

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Solution

The third proportional to 524,646 and 810,154.50 is: 1,251,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,646 : 810,154.50 = 810,154.50 : x
  2. Step 2: Convert to fraction form
    524,646/810,154.50 = 810,154.50/x
  3. Step 3: Cross multiply
    524,646x = 810,154.50 × 810,154.50
  4. Step 4: Simplify right side
    524,646x = 656,350,313,870.25
  5. Step 5: Solve for x
    x = 656,350,313,870.25/524,646
  6. Step 6: Final answer
    x = 1,251,034.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.