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Finding the Third Proportional to 355,792 and 762,433

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Solution

The third proportional to 355,792 and 762,433 is: 1,633,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,792 : 762,433 = 762,433 : x
  2. Step 2: Convert to fraction form
    355,792/762,433 = 762,433/x
  3. Step 3: Cross multiply
    355,792x = 762,433 × 762,433
  4. Step 4: Simplify right side
    355,792x = 581,304,079,489
  5. Step 5: Solve for x
    x = 581,304,079,489/355,792
  6. Step 6: Final answer
    x = 1,633,831.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.