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Finding the Third Proportional to 261,697.50 and 392,649.75

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Solution

The third proportional to 261,697.50 and 392,649.75 is: 589,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,697.50 : 392,649.75 = 392,649.75 : x
  2. Step 2: Convert to fraction form
    261,697.50/392,649.75 = 392,649.75/x
  3. Step 3: Cross multiply
    261,697.50x = 392,649.75 × 392,649.75
  4. Step 4: Simplify right side
    261,697.50x = 154,173,826,175.06
  5. Step 5: Solve for x
    x = 154,173,826,175.06/261,697.50
  6. Step 6: Final answer
    x = 589,129.92

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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.