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Finding the Third Proportional to 495,738 and 787,887

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Solution

The third proportional to 495,738 and 787,887 is: 1,252,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,738 : 787,887 = 787,887 : x
  2. Step 2: Convert to fraction form
    495,738/787,887 = 787,887/x
  3. Step 3: Cross multiply
    495,738x = 787,887 × 787,887
  4. Step 4: Simplify right side
    495,738x = 620,765,924,769
  5. Step 5: Solve for x
    x = 620,765,924,769/495,738
  6. Step 6: Final answer
    x = 1,252,205.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.