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Finding the Third Proportional to 233,644,792 and 498,562,227

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Solution

The third proportional to 233,644,792 and 498,562,227 is: 1,063,855,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,644,792 : 498,562,227 = 498,562,227 : x
  2. Step 2: Convert to fraction form
    233,644,792/498,562,227 = 498,562,227/x
  3. Step 3: Cross multiply
    233,644,792x = 498,562,227 × 498,562,227
  4. Step 4: Simplify right side
    233,644,792x = 248,564,294,191,199,520
  5. Step 5: Solve for x
    x = 248,564,294,191,199,520/233,644,792
  6. Step 6: Final answer
    x = 1,063,855,487.91

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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.