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Finding the Third Proportional to 325,574 and 703,785

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Solution

The third proportional to 325,574 and 703,785 is: 1,521,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,574 : 703,785 = 703,785 : x
  2. Step 2: Convert to fraction form
    325,574/703,785 = 703,785/x
  3. Step 3: Cross multiply
    325,574x = 703,785 × 703,785
  4. Step 4: Simplify right side
    325,574x = 495,313,326,225
  5. Step 5: Solve for x
    x = 495,313,326,225/325,574
  6. Step 6: Final answer
    x = 1,521,354.06

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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.