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Finding the Third Proportional to 341,442 and 516,859.50

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Solution

The third proportional to 341,442 and 516,859.50 is: 782,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,442 : 516,859.50 = 516,859.50 : x
  2. Step 2: Convert to fraction form
    341,442/516,859.50 = 516,859.50/x
  3. Step 3: Cross multiply
    341,442x = 516,859.50 × 516,859.50
  4. Step 4: Simplify right side
    341,442x = 267,143,742,740.25
  5. Step 5: Solve for x
    x = 267,143,742,740.25/341,442
  6. Step 6: Final answer
    x = 782,398.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.