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Finding the Third Proportional to 619,278.19 and 872,086.50

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Solution

The third proportional to 619,278.19 and 872,086.50 is: 1,228,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,278.19 : 872,086.50 = 872,086.50 : x
  2. Step 2: Convert to fraction form
    619,278.19/872,086.50 = 872,086.50/x
  3. Step 3: Cross multiply
    619,278.19x = 872,086.50 × 872,086.50
  4. Step 4: Simplify right side
    619,278.19x = 760,534,863,482.25
  5. Step 5: Solve for x
    x = 760,534,863,482.25/619,278.19
  6. Step 6: Final answer
    x = 1,228,098.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.