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Finding the Third Proportional to 514,946 and 753,987

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Solution

The third proportional to 514,946 and 753,987 is: 1,103,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,946 : 753,987 = 753,987 : x
  2. Step 2: Convert to fraction form
    514,946/753,987 = 753,987/x
  3. Step 3: Cross multiply
    514,946x = 753,987 × 753,987
  4. Step 4: Simplify right side
    514,946x = 568,496,396,169
  5. Step 5: Solve for x
    x = 568,496,396,169/514,946
  6. Step 6: Final answer
    x = 1,103,992.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.