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Finding the Third Proportional to 522,205.50 and 704,569.50

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Solution

The third proportional to 522,205.50 and 704,569.50 is: 950,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,205.50 : 704,569.50 = 704,569.50 : x
  2. Step 2: Convert to fraction form
    522,205.50/704,569.50 = 704,569.50/x
  3. Step 3: Cross multiply
    522,205.50x = 704,569.50 × 704,569.50
  4. Step 4: Simplify right side
    522,205.50x = 496,418,180,330.25
  5. Step 5: Solve for x
    x = 496,418,180,330.25/522,205.50
  6. Step 6: Final answer
    x = 950,618.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.