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Finding the Third Proportional to 360,529.50 and 565,537.50

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Solution

The third proportional to 360,529.50 and 565,537.50 is: 887,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,529.50 : 565,537.50 = 565,537.50 : x
  2. Step 2: Convert to fraction form
    360,529.50/565,537.50 = 565,537.50/x
  3. Step 3: Cross multiply
    360,529.50x = 565,537.50 × 565,537.50
  4. Step 4: Simplify right side
    360,529.50x = 319,832,663,906.25
  5. Step 5: Solve for x
    x = 319,832,663,906.25/360,529.50
  6. Step 6: Final answer
    x = 887,119.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.