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Finding the Third Proportional to 352,769 and 532,434

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Solution

The third proportional to 352,769 and 532,434 is: 803,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,769 : 532,434 = 532,434 : x
  2. Step 2: Convert to fraction form
    352,769/532,434 = 532,434/x
  3. Step 3: Cross multiply
    352,769x = 532,434 × 532,434
  4. Step 4: Simplify right side
    352,769x = 283,485,964,356
  5. Step 5: Solve for x
    x = 283,485,964,356/352,769
  6. Step 6: Final answer
    x = 803,602.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.