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Finding the Third Proportional to 329,580,720 and 498,612,880

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Solution

The third proportional to 329,580,720 and 498,612,880 is: 754,336,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,580,720 : 498,612,880 = 498,612,880 : x
  2. Step 2: Convert to fraction form
    329,580,720/498,612,880 = 498,612,880/x
  3. Step 3: Cross multiply
    329,580,720x = 498,612,880 × 498,612,880
  4. Step 4: Simplify right side
    329,580,720x = 248,614,804,101,894,400
  5. Step 5: Solve for x
    x = 248,614,804,101,894,400/329,580,720
  6. Step 6: Final answer
    x = 754,336,613.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.