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Finding the Third Proportional to 522,576.75 and 763,700.25

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Solution

The third proportional to 522,576.75 and 763,700.25 is: 1,116,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,576.75 : 763,700.25 = 763,700.25 : x
  2. Step 2: Convert to fraction form
    522,576.75/763,700.25 = 763,700.25/x
  3. Step 3: Cross multiply
    522,576.75x = 763,700.25 × 763,700.25
  4. Step 4: Simplify right side
    522,576.75x = 583,238,071,850.06
  5. Step 5: Solve for x
    x = 583,238,071,850.06/522,576.75
  6. Step 6: Final answer
    x = 1,116,081.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.