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Finding the Third Proportional to 268,461 and 375,522

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Solution

The third proportional to 268,461 and 375,522 is: 525,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,461 : 375,522 = 375,522 : x
  2. Step 2: Convert to fraction form
    268,461/375,522 = 375,522/x
  3. Step 3: Cross multiply
    268,461x = 375,522 × 375,522
  4. Step 4: Simplify right side
    268,461x = 141,016,772,484
  5. Step 5: Solve for x
    x = 141,016,772,484/268,461
  6. Step 6: Final answer
    x = 525,278.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.