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Finding the Third Proportional to 523,065.38 and 799,602.75

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Solution

The third proportional to 523,065.38 and 799,602.75 is: 1,222,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,065.38 : 799,602.75 = 799,602.75 : x
  2. Step 2: Convert to fraction form
    523,065.38/799,602.75 = 799,602.75/x
  3. Step 3: Cross multiply
    523,065.38x = 799,602.75 × 799,602.75
  4. Step 4: Simplify right side
    523,065.38x = 639,364,557,807.56
  5. Step 5: Solve for x
    x = 639,364,557,807.56/523,065.38
  6. Step 6: Final answer
    x = 1,222,341.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.