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Finding the Third Proportional to 350,483.63 and 765,831.38

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Solution

The third proportional to 350,483.63 and 765,831.38 is: 1,673,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,483.63 : 765,831.38 = 765,831.38 : x
  2. Step 2: Convert to fraction form
    350,483.63/765,831.38 = 765,831.38/x
  3. Step 3: Cross multiply
    350,483.63x = 765,831.38 × 765,831.38
  4. Step 4: Simplify right side
    350,483.63x = 586,497,694,934.39
  5. Step 5: Solve for x
    x = 586,497,694,934.39/350,483.63
  6. Step 6: Final answer
    x = 1,673,395.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.