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Finding the Third Proportional to 398,539 and 592,162.50

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Solution

The third proportional to 398,539 and 592,162.50 is: 879,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,539 : 592,162.50 = 592,162.50 : x
  2. Step 2: Convert to fraction form
    398,539/592,162.50 = 592,162.50/x
  3. Step 3: Cross multiply
    398,539x = 592,162.50 × 592,162.50
  4. Step 4: Simplify right side
    398,539x = 350,656,426,406.25
  5. Step 5: Solve for x
    x = 350,656,426,406.25/398,539
  6. Step 6: Final answer
    x = 879,854.74

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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.