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Finding the Third Proportional to 352,425,132 and 746,862,230

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Solution

The third proportional to 352,425,132 and 746,862,230 is: 1,582,756,562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,425,132 : 746,862,230 = 746,862,230 : x
  2. Step 2: Convert to fraction form
    352,425,132/746,862,230 = 746,862,230/x
  3. Step 3: Cross multiply
    352,425,132x = 746,862,230 × 746,862,230
  4. Step 4: Simplify right side
    352,425,132x = 557,803,190,600,572,928
  5. Step 5: Solve for x
    x = 557,803,190,600,572,928/352,425,132
  6. Step 6: Final answer
    x = 1,582,756,562.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.