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Finding the Third Proportional to 579,831.43 and 884,744.28

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Solution

The third proportional to 579,831.43 and 884,744.28 is: 1,350,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,831.43 : 884,744.28 = 884,744.28 : x
  2. Step 2: Convert to fraction form
    579,831.43/884,744.28 = 884,744.28/x
  3. Step 3: Cross multiply
    579,831.43x = 884,744.28 × 884,744.28
  4. Step 4: Simplify right side
    579,831.43x = 782,772,439,748.59
  5. Step 5: Solve for x
    x = 782,772,439,748.59/579,831.43
  6. Step 6: Final answer
    x = 1,350,000.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.