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Finding the Third Proportional to 343,812.38 and 466,924.50

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Solution

The third proportional to 343,812.38 and 466,924.50 is: 634,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,812.38 : 466,924.50 = 466,924.50 : x
  2. Step 2: Convert to fraction form
    343,812.38/466,924.50 = 466,924.50/x
  3. Step 3: Cross multiply
    343,812.38x = 466,924.50 × 466,924.50
  4. Step 4: Simplify right side
    343,812.38x = 218,018,488,700.25
  5. Step 5: Solve for x
    x = 218,018,488,700.25/343,812.38
  6. Step 6: Final answer
    x = 634,120.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.