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Finding the Third Proportional to 776,259 and 1,234,372.50

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Solution

The third proportional to 776,259 and 1,234,372.50 is: 1,962,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,259 : 1,234,372.50 = 1,234,372.50 : x
  2. Step 2: Convert to fraction form
    776,259/1,234,372.50 = 1,234,372.50/x
  3. Step 3: Cross multiply
    776,259x = 1,234,372.50 × 1,234,372.50
  4. Step 4: Simplify right side
    776,259x = 1,523,675,468,756.25
  5. Step 5: Solve for x
    x = 1,523,675,468,756.25/776,259
  6. Step 6: Final answer
    x = 1,962,844.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.