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Finding the Third Proportional to 295,887 and 650,706

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Solution

The third proportional to 295,887 and 650,706 is: 1,431,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,887 : 650,706 = 650,706 : x
  2. Step 2: Convert to fraction form
    295,887/650,706 = 650,706/x
  3. Step 3: Cross multiply
    295,887x = 650,706 × 650,706
  4. Step 4: Simplify right side
    295,887x = 423,418,298,436
  5. Step 5: Solve for x
    x = 423,418,298,436/295,887
  6. Step 6: Final answer
    x = 1,431,013.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.