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Finding the Third Proportional to 337,643 and 515,038

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Solution

The third proportional to 337,643 and 515,038 is: 785,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,643 : 515,038 = 515,038 : x
  2. Step 2: Convert to fraction form
    337,643/515,038 = 515,038/x
  3. Step 3: Cross multiply
    337,643x = 515,038 × 515,038
  4. Step 4: Simplify right side
    337,643x = 265,264,141,444
  5. Step 5: Solve for x
    x = 265,264,141,444/337,643
  6. Step 6: Final answer
    x = 785,634.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.