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Finding the Third Proportional to 388,630.13 and 571,831.31

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Solution

The third proportional to 388,630.13 and 571,831.31 is: 841,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,630.13 : 571,831.31 = 571,831.31 : x
  2. Step 2: Convert to fraction form
    388,630.13/571,831.31 = 571,831.31/x
  3. Step 3: Cross multiply
    388,630.13x = 571,831.31 × 571,831.31
  4. Step 4: Simplify right side
    388,630.13x = 326,991,049,955.47
  5. Step 5: Solve for x
    x = 326,991,049,955.47/388,630.13
  6. Step 6: Final answer
    x = 841,393.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.