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Finding the Third Proportional to 289,712 and 465,348

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Solution

The third proportional to 289,712 and 465,348 is: 747,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,712 : 465,348 = 465,348 : x
  2. Step 2: Convert to fraction form
    289,712/465,348 = 465,348/x
  3. Step 3: Cross multiply
    289,712x = 465,348 × 465,348
  4. Step 4: Simplify right side
    289,712x = 216,548,761,104
  5. Step 5: Solve for x
    x = 216,548,761,104/289,712
  6. Step 6: Final answer
    x = 747,462.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.