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Finding the Third Proportional to 327,120,968.63 and 490,920,931.13

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Solution

The third proportional to 327,120,968.63 and 490,920,931.13 is: 736,740,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,120,968.63 : 490,920,931.13 = 490,920,931.13 : x
  2. Step 2: Convert to fraction form
    327,120,968.63/490,920,931.13 = 490,920,931.13/x
  3. Step 3: Cross multiply
    327,120,968.63x = 490,920,931.13 × 490,920,931.13
  4. Step 4: Simplify right side
    327,120,968.63x = 241,003,360,616,636,992
  5. Step 5: Solve for x
    x = 241,003,360,616,636,992/327,120,968.63
  6. Step 6: Final answer
    x = 736,740,789.29

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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.