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Finding the Third Proportional to 342,387 and 514,615.50

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Solution

The third proportional to 342,387 and 514,615.50 is: 773,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,387 : 514,615.50 = 514,615.50 : x
  2. Step 2: Convert to fraction form
    342,387/514,615.50 = 514,615.50/x
  3. Step 3: Cross multiply
    342,387x = 514,615.50 × 514,615.50
  4. Step 4: Simplify right side
    342,387x = 264,829,112,840.25
  5. Step 5: Solve for x
    x = 264,829,112,840.25/342,387
  6. Step 6: Final answer
    x = 773,478.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.