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Finding the Third Proportional to 310,842.38 and 467,417.25

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Solution

The third proportional to 310,842.38 and 467,417.25 is: 702,860.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,842.38 : 467,417.25 = 467,417.25 : x
  2. Step 2: Convert to fraction form
    310,842.38/467,417.25 = 467,417.25/x
  3. Step 3: Cross multiply
    310,842.38x = 467,417.25 × 467,417.25
  4. Step 4: Simplify right side
    310,842.38x = 218,478,885,597.56
  5. Step 5: Solve for x
    x = 218,478,885,597.56/310,842.38
  6. Step 6: Final answer
    x = 702,860.69

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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.