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Finding the Third Proportional to 345,719.25 and 754,479

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Solution

The third proportional to 345,719.25 and 754,479 is: 1,646,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,719.25 : 754,479 = 754,479 : x
  2. Step 2: Convert to fraction form
    345,719.25/754,479 = 754,479/x
  3. Step 3: Cross multiply
    345,719.25x = 754,479 × 754,479
  4. Step 4: Simplify right side
    345,719.25x = 569,238,561,441
  5. Step 5: Solve for x
    x = 569,238,561,441/345,719.25
  6. Step 6: Final answer
    x = 1,646,534.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.