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Finding the Third Proportional to 316,746 and 495,864

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Solution

The third proportional to 316,746 and 495,864 is: 776,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,746 : 495,864 = 495,864 : x
  2. Step 2: Convert to fraction form
    316,746/495,864 = 495,864/x
  3. Step 3: Cross multiply
    316,746x = 495,864 × 495,864
  4. Step 4: Simplify right side
    316,746x = 245,881,106,496
  5. Step 5: Solve for x
    x = 245,881,106,496/316,746
  6. Step 6: Final answer
    x = 776,272.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.