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Finding the Third Proportional to 279,245,319.38 and 449,938,597

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Solution

The third proportional to 279,245,319.38 and 449,938,597 is: 724,970,937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,245,319.38 : 449,938,597 = 449,938,597 : x
  2. Step 2: Convert to fraction form
    279,245,319.38/449,938,597 = 449,938,597/x
  3. Step 3: Cross multiply
    279,245,319.38x = 449,938,597 × 449,938,597
  4. Step 4: Simplify right side
    279,245,319.38x = 202,444,741,070,328,416
  5. Step 5: Solve for x
    x = 202,444,741,070,328,416/279,245,319.38
  6. Step 6: Final answer
    x = 724,970,937.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.