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Finding the Third Proportional to 267,411 and 393,124.50

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Solution

The third proportional to 267,411 and 393,124.50 is: 577,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,411 : 393,124.50 = 393,124.50 : x
  2. Step 2: Convert to fraction form
    267,411/393,124.50 = 393,124.50/x
  3. Step 3: Cross multiply
    267,411x = 393,124.50 × 393,124.50
  4. Step 4: Simplify right side
    267,411x = 154,546,872,500.25
  5. Step 5: Solve for x
    x = 154,546,872,500.25/267,411
  6. Step 6: Final answer
    x = 577,937.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.