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Finding the Third Proportional to 345,276 and 754,596

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Solution

The third proportional to 345,276 and 754,596 is: 1,649,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,276 : 754,596 = 754,596 : x
  2. Step 2: Convert to fraction form
    345,276/754,596 = 754,596/x
  3. Step 3: Cross multiply
    345,276x = 754,596 × 754,596
  4. Step 4: Simplify right side
    345,276x = 569,415,123,216
  5. Step 5: Solve for x
    x = 569,415,123,216/345,276
  6. Step 6: Final answer
    x = 1,649,159.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.