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Finding the Third Proportional to 240,772.50 and 569,403

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Solution

The third proportional to 240,772.50 and 569,403 is: 1,346,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,772.50 : 569,403 = 569,403 : x
  2. Step 2: Convert to fraction form
    240,772.50/569,403 = 569,403/x
  3. Step 3: Cross multiply
    240,772.50x = 569,403 × 569,403
  4. Step 4: Simplify right side
    240,772.50x = 324,219,776,409
  5. Step 5: Solve for x
    x = 324,219,776,409/240,772.50
  6. Step 6: Final answer
    x = 1,346,581.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.