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Finding the Third Proportional to 294,637.50 and 636,265.13

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Solution

The third proportional to 294,637.50 and 636,265.13 is: 1,374,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,637.50 : 636,265.13 = 636,265.13 : x
  2. Step 2: Convert to fraction form
    294,637.50/636,265.13 = 636,265.13/x
  3. Step 3: Cross multiply
    294,637.50x = 636,265.13 × 636,265.13
  4. Step 4: Simplify right side
    294,637.50x = 404,833,309,291.27
  5. Step 5: Solve for x
    x = 404,833,309,291.27/294,637.50
  6. Step 6: Final answer
    x = 1,374,004.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.