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Finding the Third Proportional to 492,095.25 and 770,947.88

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Solution

The third proportional to 492,095.25 and 770,947.88 is: 1,207,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,095.25 : 770,947.88 = 770,947.88 : x
  2. Step 2: Convert to fraction form
    492,095.25/770,947.88 = 770,947.88/x
  3. Step 3: Cross multiply
    492,095.25x = 770,947.88 × 770,947.88
  4. Step 4: Simplify right side
    492,095.25x = 594,360,625,967.02
  5. Step 5: Solve for x
    x = 594,360,625,967.02/492,095.25
  6. Step 6: Final answer
    x = 1,207,816.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.