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Finding the Third Proportional to 338,381,304 and 741,241,200

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Solution

The third proportional to 338,381,304 and 741,241,200 is: 1,623,725,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,381,304 : 741,241,200 = 741,241,200 : x
  2. Step 2: Convert to fraction form
    338,381,304/741,241,200 = 741,241,200/x
  3. Step 3: Cross multiply
    338,381,304x = 741,241,200 × 741,241,200
  4. Step 4: Simplify right side
    338,381,304x = 549,438,516,577,440,000
  5. Step 5: Solve for x
    x = 549,438,516,577,440,000/338,381,304
  6. Step 6: Final answer
    x = 1,623,725,986.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.