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Finding the Third Proportional to 522,569 and 763,686.50

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Solution

The third proportional to 522,569 and 763,686.50 is: 1,116,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,569 : 763,686.50 = 763,686.50 : x
  2. Step 2: Convert to fraction form
    522,569/763,686.50 = 763,686.50/x
  3. Step 3: Cross multiply
    522,569x = 763,686.50 × 763,686.50
  4. Step 4: Simplify right side
    522,569x = 583,217,070,282.25
  5. Step 5: Solve for x
    x = 583,217,070,282.25/522,569
  6. Step 6: Final answer
    x = 1,116,057.54

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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.