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Finding the Third Proportional to 560,211 and 846,986

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Solution

The third proportional to 560,211 and 846,986 is: 1,280,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,211 : 846,986 = 846,986 : x
  2. Step 2: Convert to fraction form
    560,211/846,986 = 846,986/x
  3. Step 3: Cross multiply
    560,211x = 846,986 × 846,986
  4. Step 4: Simplify right side
    560,211x = 717,385,284,196
  5. Step 5: Solve for x
    x = 717,385,284,196/560,211
  6. Step 6: Final answer
    x = 1,280,562.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.