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Finding the Third Proportional to 352,953 and 540,020

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Solution

The third proportional to 352,953 and 540,020 is: 826,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,953 : 540,020 = 540,020 : x
  2. Step 2: Convert to fraction form
    352,953/540,020 = 540,020/x
  3. Step 3: Cross multiply
    352,953x = 540,020 × 540,020
  4. Step 4: Simplify right side
    352,953x = 291,621,600,400
  5. Step 5: Solve for x
    x = 291,621,600,400/352,953
  6. Step 6: Final answer
    x = 826,233.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.