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Finding the Third Proportional to 560,262 and 840,945

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Solution

The third proportional to 560,262 and 840,945 is: 1,262,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,262 : 840,945 = 840,945 : x
  2. Step 2: Convert to fraction form
    560,262/840,945 = 840,945/x
  3. Step 3: Cross multiply
    560,262x = 840,945 × 840,945
  4. Step 4: Simplify right side
    560,262x = 707,188,493,025
  5. Step 5: Solve for x
    x = 707,188,493,025/560,262
  6. Step 6: Final answer
    x = 1,262,246.04

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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.