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Finding the Third Proportional to 495,016 and 772,088

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Solution

The third proportional to 495,016 and 772,088 is: 1,204,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,016 : 772,088 = 772,088 : x
  2. Step 2: Convert to fraction form
    495,016/772,088 = 772,088/x
  3. Step 3: Cross multiply
    495,016x = 772,088 × 772,088
  4. Step 4: Simplify right side
    495,016x = 596,119,879,744
  5. Step 5: Solve for x
    x = 596,119,879,744/495,016
  6. Step 6: Final answer
    x = 1,204,243.66

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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.