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Finding the Third Proportional to 252,925,003.50 and 379,386,253.50

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Solution

The third proportional to 252,925,003.50 and 379,386,253.50 is: 569,077,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,925,003.50 : 379,386,253.50 = 379,386,253.50 : x
  2. Step 2: Convert to fraction form
    252,925,003.50/379,386,253.50 = 379,386,253.50/x
  3. Step 3: Cross multiply
    252,925,003.50x = 379,386,253.50 × 379,386,253.50
  4. Step 4: Simplify right side
    252,925,003.50x = 143,933,929,344,766,256
  5. Step 5: Solve for x
    x = 143,933,929,344,766,256/252,925,003.50
  6. Step 6: Final answer
    x = 569,077,502.63

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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.