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Finding the Third Proportional to 313,053.89 and 467,730.74

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Solution

The third proportional to 313,053.89 and 467,730.74 is: 698,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,053.89 : 467,730.74 = 467,730.74 : x
  2. Step 2: Convert to fraction form
    313,053.89/467,730.74 = 467,730.74/x
  3. Step 3: Cross multiply
    313,053.89x = 467,730.74 × 467,730.74
  4. Step 4: Simplify right side
    313,053.89x = 218,772,047,644.04
  5. Step 5: Solve for x
    x = 218,772,047,644.04/313,053.89
  6. Step 6: Final answer
    x = 698,831.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.