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Finding the Third Proportional to 467,223.19 and 687,707.72

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Solution

The third proportional to 467,223.19 and 687,707.72 is: 1,012,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,223.19 : 687,707.72 = 687,707.72 : x
  2. Step 2: Convert to fraction form
    467,223.19/687,707.72 = 687,707.72/x
  3. Step 3: Cross multiply
    467,223.19x = 687,707.72 × 687,707.72
  4. Step 4: Simplify right side
    467,223.19x = 472,941,906,428.33
  5. Step 5: Solve for x
    x = 472,941,906,428.33/467,223.19
  6. Step 6: Final answer
    x = 1,012,239.80

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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.