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Finding the Third Proportional to 250,292.50 and 518,329.50

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Solution

The third proportional to 250,292.50 and 518,329.50 is: 1,073,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,292.50 : 518,329.50 = 518,329.50 : x
  2. Step 2: Convert to fraction form
    250,292.50/518,329.50 = 518,329.50/x
  3. Step 3: Cross multiply
    250,292.50x = 518,329.50 × 518,329.50
  4. Step 4: Simplify right side
    250,292.50x = 268,665,470,570.25
  5. Step 5: Solve for x
    x = 268,665,470,570.25/250,292.50
  6. Step 6: Final answer
    x = 1,073,406.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.