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Finding the Third Proportional to 311,946 and 495,864

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Solution

The third proportional to 311,946 and 495,864 is: 788,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,946 : 495,864 = 495,864 : x
  2. Step 2: Convert to fraction form
    311,946/495,864 = 495,864/x
  3. Step 3: Cross multiply
    311,946x = 495,864 × 495,864
  4. Step 4: Simplify right side
    311,946x = 245,881,106,496
  5. Step 5: Solve for x
    x = 245,881,106,496/311,946
  6. Step 6: Final answer
    x = 788,216.89

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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.