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Finding the Third Proportional to 225,792 and 482,712

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Solution

The third proportional to 225,792 and 482,712 is: 1,031,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,792 : 482,712 = 482,712 : x
  2. Step 2: Convert to fraction form
    225,792/482,712 = 482,712/x
  3. Step 3: Cross multiply
    225,792x = 482,712 × 482,712
  4. Step 4: Simplify right side
    225,792x = 233,010,874,944
  5. Step 5: Solve for x
    x = 233,010,874,944/225,792
  6. Step 6: Final answer
    x = 1,031,971.35

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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.