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Finding the Third Proportional to 434,980 and 612,540

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Solution

The third proportional to 434,980 and 612,540 is: 862,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,980 : 612,540 = 612,540 : x
  2. Step 2: Convert to fraction form
    434,980/612,540 = 612,540/x
  3. Step 3: Cross multiply
    434,980x = 612,540 × 612,540
  4. Step 4: Simplify right side
    434,980x = 375,205,251,600
  5. Step 5: Solve for x
    x = 375,205,251,600/434,980
  6. Step 6: Final answer
    x = 862,580.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.