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Finding the Third Proportional to 500,073.75 and 774,532.13

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Solution

The third proportional to 500,073.75 and 774,532.13 is: 1,199,623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,073.75 : 774,532.13 = 774,532.13 : x
  2. Step 2: Convert to fraction form
    500,073.75/774,532.13 = 774,532.13/x
  3. Step 3: Cross multiply
    500,073.75x = 774,532.13 × 774,532.13
  4. Step 4: Simplify right side
    500,073.75x = 599,900,012,657.02
  5. Step 5: Solve for x
    x = 599,900,012,657.02/500,073.75
  6. Step 6: Final answer
    x = 1,199,623.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.