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Finding the Third Proportional to 345,292 and 754,627

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Solution

The third proportional to 345,292 and 754,627 is: 1,649,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,292 : 754,627 = 754,627 : x
  2. Step 2: Convert to fraction form
    345,292/754,627 = 754,627/x
  3. Step 3: Cross multiply
    345,292x = 754,627 × 754,627
  4. Step 4: Simplify right side
    345,292x = 569,461,909,129
  5. Step 5: Solve for x
    x = 569,461,909,129/345,292
  6. Step 6: Final answer
    x = 1,649,218.37

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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.