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Finding the Third Proportional to 560,162 and 840,650

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Solution

The third proportional to 560,162 and 840,650 is: 1,261,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,162 : 840,650 = 840,650 : x
  2. Step 2: Convert to fraction form
    560,162/840,650 = 840,650/x
  3. Step 3: Cross multiply
    560,162x = 840,650 × 840,650
  4. Step 4: Simplify right side
    560,162x = 706,692,422,500
  5. Step 5: Solve for x
    x = 706,692,422,500/560,162
  6. Step 6: Final answer
    x = 1,261,585.80

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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.