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Finding the Third Proportional to 352,593 and 761,283

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Solution

The third proportional to 352,593 and 761,283 is: 1,643,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,593 : 761,283 = 761,283 : x
  2. Step 2: Convert to fraction form
    352,593/761,283 = 761,283/x
  3. Step 3: Cross multiply
    352,593x = 761,283 × 761,283
  4. Step 4: Simplify right side
    352,593x = 579,551,806,089
  5. Step 5: Solve for x
    x = 579,551,806,089/352,593
  6. Step 6: Final answer
    x = 1,643,684.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.