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Finding the Third Proportional to 295,983 and 641,862

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Solution

The third proportional to 295,983 and 641,862 is: 1,391,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,983 : 641,862 = 641,862 : x
  2. Step 2: Convert to fraction form
    295,983/641,862 = 641,862/x
  3. Step 3: Cross multiply
    295,983x = 641,862 × 641,862
  4. Step 4: Simplify right side
    295,983x = 411,986,827,044
  5. Step 5: Solve for x
    x = 411,986,827,044/295,983
  6. Step 6: Final answer
    x = 1,391,927.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.