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Finding the Third Proportional to 532,980 and 704,214

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Solution

The third proportional to 532,980 and 704,214 is: 930,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,980 : 704,214 = 704,214 : x
  2. Step 2: Convert to fraction form
    532,980/704,214 = 704,214/x
  3. Step 3: Cross multiply
    532,980x = 704,214 × 704,214
  4. Step 4: Simplify right side
    532,980x = 495,917,357,796
  5. Step 5: Solve for x
    x = 495,917,357,796/532,980
  6. Step 6: Final answer
    x = 930,461.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.