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Finding the Third Proportional to 495,027 and 772,107

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Solution

The third proportional to 495,027 and 772,107 is: 1,204,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,027 : 772,107 = 772,107 : x
  2. Step 2: Convert to fraction form
    495,027/772,107 = 772,107/x
  3. Step 3: Cross multiply
    495,027x = 772,107 × 772,107
  4. Step 4: Simplify right side
    495,027x = 596,149,219,449
  5. Step 5: Solve for x
    x = 596,149,219,449/495,027
  6. Step 6: Final answer
    x = 1,204,276.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.