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Finding the Third Proportional to 495,926 and 741,966

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Solution

The third proportional to 495,926 and 741,966 is: 1,110,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,926 : 741,966 = 741,966 : x
  2. Step 2: Convert to fraction form
    495,926/741,966 = 741,966/x
  3. Step 3: Cross multiply
    495,926x = 741,966 × 741,966
  4. Step 4: Simplify right side
    495,926x = 550,513,545,156
  5. Step 5: Solve for x
    x = 550,513,545,156/495,926
  6. Step 6: Final answer
    x = 1,110,071.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.