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Finding the Third Proportional to 232,894 and 360,720

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Solution

The third proportional to 232,894 and 360,720 is: 558,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,894 : 360,720 = 360,720 : x
  2. Step 2: Convert to fraction form
    232,894/360,720 = 360,720/x
  3. Step 3: Cross multiply
    232,894x = 360,720 × 360,720
  4. Step 4: Simplify right side
    232,894x = 130,118,918,400
  5. Step 5: Solve for x
    x = 130,118,918,400/232,894
  6. Step 6: Final answer
    x = 558,704.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.