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Finding the Third Proportional to 356,999.06 and 772,777.13

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Solution

The third proportional to 356,999.06 and 772,777.13 is: 1,672,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,999.06 : 772,777.13 = 772,777.13 : x
  2. Step 2: Convert to fraction form
    356,999.06/772,777.13 = 772,777.13/x
  3. Step 3: Cross multiply
    356,999.06x = 772,777.13 × 772,777.13
  4. Step 4: Simplify right side
    356,999.06x = 597,184,484,923.27
  5. Step 5: Solve for x
    x = 597,184,484,923.27/356,999.06
  6. Step 6: Final answer
    x = 1,672,790.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.