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Finding the Third Proportional to 236,417 and 353,791

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Solution

The third proportional to 236,417 and 353,791 is: 529,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,417 : 353,791 = 353,791 : x
  2. Step 2: Convert to fraction form
    236,417/353,791 = 353,791/x
  3. Step 3: Cross multiply
    236,417x = 353,791 × 353,791
  4. Step 4: Simplify right side
    236,417x = 125,168,071,681
  5. Step 5: Solve for x
    x = 125,168,071,681/236,417
  6. Step 6: Final answer
    x = 529,437.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.