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Finding the Third Proportional to 337,637 and 515,030

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Solution

The third proportional to 337,637 and 515,030 is: 785,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,637 : 515,030 = 515,030 : x
  2. Step 2: Convert to fraction form
    337,637/515,030 = 515,030/x
  3. Step 3: Cross multiply
    337,637x = 515,030 × 515,030
  4. Step 4: Simplify right side
    337,637x = 265,255,900,900
  5. Step 5: Solve for x
    x = 265,255,900,900/337,637
  6. Step 6: Final answer
    x = 785,624.50

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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.