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Finding the Third Proportional to 336,294 and 703,746

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Solution

The third proportional to 336,294 and 703,746 is: 1,472,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,294 : 703,746 = 703,746 : x
  2. Step 2: Convert to fraction form
    336,294/703,746 = 703,746/x
  3. Step 3: Cross multiply
    336,294x = 703,746 × 703,746
  4. Step 4: Simplify right side
    336,294x = 495,258,432,516
  5. Step 5: Solve for x
    x = 495,258,432,516/336,294
  6. Step 6: Final answer
    x = 1,472,694.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.