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Finding the Third Proportional to 566,406 and 791,923.50

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Solution

The third proportional to 566,406 and 791,923.50 is: 1,107,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,406 : 791,923.50 = 791,923.50 : x
  2. Step 2: Convert to fraction form
    566,406/791,923.50 = 791,923.50/x
  3. Step 3: Cross multiply
    566,406x = 791,923.50 × 791,923.50
  4. Step 4: Simplify right side
    566,406x = 627,142,829,852.25
  5. Step 5: Solve for x
    x = 627,142,829,852.25/566,406
  6. Step 6: Final answer
    x = 1,107,231.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.