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Finding the Third Proportional to 352,520 and 745,226

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Solution

The third proportional to 352,520 and 745,226 is: 1,575,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,520 : 745,226 = 745,226 : x
  2. Step 2: Convert to fraction form
    352,520/745,226 = 745,226/x
  3. Step 3: Cross multiply
    352,520x = 745,226 × 745,226
  4. Step 4: Simplify right side
    352,520x = 555,361,791,076
  5. Step 5: Solve for x
    x = 555,361,791,076/352,520
  6. Step 6: Final answer
    x = 1,575,405.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.