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Finding the Third Proportional to 732,263.50 and 1,594,653

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Solution

The third proportional to 732,263.50 and 1,594,653 is: 3,472,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,263.50 : 1,594,653 = 1,594,653 : x
  2. Step 2: Convert to fraction form
    732,263.50/1,594,653 = 1,594,653/x
  3. Step 3: Cross multiply
    732,263.50x = 1,594,653 × 1,594,653
  4. Step 4: Simplify right side
    732,263.50x = 2,542,918,190,409
  5. Step 5: Solve for x
    x = 2,542,918,190,409/732,263.50
  6. Step 6: Final answer
    x = 3,472,681.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.