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Finding the Third Proportional to 349,111.13 and 498,309.75

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Solution

The third proportional to 349,111.13 and 498,309.75 is: 711,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,111.13 : 498,309.75 = 498,309.75 : x
  2. Step 2: Convert to fraction form
    349,111.13/498,309.75 = 498,309.75/x
  3. Step 3: Cross multiply
    349,111.13x = 498,309.75 × 498,309.75
  4. Step 4: Simplify right side
    349,111.13x = 248,312,606,945.06
  5. Step 5: Solve for x
    x = 248,312,606,945.06/349,111.13
  6. Step 6: Final answer
    x = 711,270.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.