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Finding the Third Proportional to 325,472 and 703,584

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Solution

The third proportional to 325,472 and 703,584 is: 1,520,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,472 : 703,584 = 703,584 : x
  2. Step 2: Convert to fraction form
    325,472/703,584 = 703,584/x
  3. Step 3: Cross multiply
    325,472x = 703,584 × 703,584
  4. Step 4: Simplify right side
    325,472x = 495,030,445,056
  5. Step 5: Solve for x
    x = 495,030,445,056/325,472
  6. Step 6: Final answer
    x = 1,520,961.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.