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Finding the Third Proportional to 347,566.50 and 811,957.50

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Solution

The third proportional to 347,566.50 and 811,957.50 is: 1,896,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,566.50 : 811,957.50 = 811,957.50 : x
  2. Step 2: Convert to fraction form
    347,566.50/811,957.50 = 811,957.50/x
  3. Step 3: Cross multiply
    347,566.50x = 811,957.50 × 811,957.50
  4. Step 4: Simplify right side
    347,566.50x = 659,274,981,806.25
  5. Step 5: Solve for x
    x = 659,274,981,806.25/347,566.50
  6. Step 6: Final answer
    x = 1,896,831.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.