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Finding the Third Proportional to 577,603.50 and 866,406

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Solution

The third proportional to 577,603.50 and 866,406 is: 1,299,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,603.50 : 866,406 = 866,406 : x
  2. Step 2: Convert to fraction form
    577,603.50/866,406 = 866,406/x
  3. Step 3: Cross multiply
    577,603.50x = 866,406 × 866,406
  4. Step 4: Simplify right side
    577,603.50x = 750,659,356,836
  5. Step 5: Solve for x
    x = 750,659,356,836/577,603.50
  6. Step 6: Final answer
    x = 1,299,610.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.