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Finding the Third Proportional to 306,657 and 465,522

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Solution

The third proportional to 306,657 and 465,522 is: 706,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,657 : 465,522 = 465,522 : x
  2. Step 2: Convert to fraction form
    306,657/465,522 = 465,522/x
  3. Step 3: Cross multiply
    306,657x = 465,522 × 465,522
  4. Step 4: Simplify right side
    306,657x = 216,710,732,484
  5. Step 5: Solve for x
    x = 216,710,732,484/306,657
  6. Step 6: Final answer
    x = 706,687.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.