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Finding the Third Proportional to 291,822.75 and 634,756.50

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Solution

The third proportional to 291,822.75 and 634,756.50 is: 1,380,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,822.75 : 634,756.50 = 634,756.50 : x
  2. Step 2: Convert to fraction form
    291,822.75/634,756.50 = 634,756.50/x
  3. Step 3: Cross multiply
    291,822.75x = 634,756.50 × 634,756.50
  4. Step 4: Simplify right side
    291,822.75x = 402,915,814,292.25
  5. Step 5: Solve for x
    x = 402,915,814,292.25/291,822.75
  6. Step 6: Final answer
    x = 1,380,686.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.