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Finding the Third Proportional to 329,440,180 and 702,654,632

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Solution

The third proportional to 329,440,180 and 702,654,632 is: 1,498,674,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,440,180 : 702,654,632 = 702,654,632 : x
  2. Step 2: Convert to fraction form
    329,440,180/702,654,632 = 702,654,632/x
  3. Step 3: Cross multiply
    329,440,180x = 702,654,632 × 702,654,632
  4. Step 4: Simplify right side
    329,440,180x = 493,723,531,871,055,424
  5. Step 5: Solve for x
    x = 493,723,531,871,055,424/329,440,180
  6. Step 6: Final answer
    x = 1,498,674,302.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.