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Finding the Third Proportional to 403,044.75 and 849,831.75

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Solution

The third proportional to 403,044.75 and 849,831.75 is: 1,791,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,044.75 : 849,831.75 = 849,831.75 : x
  2. Step 2: Convert to fraction form
    403,044.75/849,831.75 = 849,831.75/x
  3. Step 3: Cross multiply
    403,044.75x = 849,831.75 × 849,831.75
  4. Step 4: Simplify right side
    403,044.75x = 722,214,003,308.06
  5. Step 5: Solve for x
    x = 722,214,003,308.06/403,044.75
  6. Step 6: Final answer
    x = 1,791,895.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.