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Finding the Third Proportional to 565,123.50 and 873,625.50

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Solution

The third proportional to 565,123.50 and 873,625.50 is: 1,350,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,123.50 : 873,625.50 = 873,625.50 : x
  2. Step 2: Convert to fraction form
    565,123.50/873,625.50 = 873,625.50/x
  3. Step 3: Cross multiply
    565,123.50x = 873,625.50 × 873,625.50
  4. Step 4: Simplify right side
    565,123.50x = 763,221,514,250.25
  5. Step 5: Solve for x
    x = 763,221,514,250.25/565,123.50
  6. Step 6: Final answer
    x = 1,350,539.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.