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Finding the Third Proportional to 232,766.63 and 499,981.50

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Solution

The third proportional to 232,766.63 and 499,981.50 is: 1,073,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,766.63 : 499,981.50 = 499,981.50 : x
  2. Step 2: Convert to fraction form
    232,766.63/499,981.50 = 499,981.50/x
  3. Step 3: Cross multiply
    232,766.63x = 499,981.50 × 499,981.50
  4. Step 4: Simplify right side
    232,766.63x = 249,981,500,342.25
  5. Step 5: Solve for x
    x = 249,981,500,342.25/232,766.63
  6. Step 6: Final answer
    x = 1,073,957.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.