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Finding the Third Proportional to 765,596.81 and 922,240.69

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Solution

The third proportional to 765,596.81 and 922,240.69 is: 1,110,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,596.81 : 922,240.69 = 922,240.69 : x
  2. Step 2: Convert to fraction form
    765,596.81/922,240.69 = 922,240.69/x
  3. Step 3: Cross multiply
    765,596.81x = 922,240.69 × 922,240.69
  4. Step 4: Simplify right side
    765,596.81x = 850,527,885,680.47
  5. Step 5: Solve for x
    x = 850,527,885,680.47/765,596.81
  6. Step 6: Final answer
    x = 1,110,934.47

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.