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Finding the Third Proportional to 241,572 and 354,036

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Solution

The third proportional to 241,572 and 354,036 is: 518,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,572 : 354,036 = 354,036 : x
  2. Step 2: Convert to fraction form
    241,572/354,036 = 354,036/x
  3. Step 3: Cross multiply
    241,572x = 354,036 × 354,036
  4. Step 4: Simplify right side
    241,572x = 125,341,489,296
  5. Step 5: Solve for x
    x = 125,341,489,296/241,572
  6. Step 6: Final answer
    x = 518,857.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.