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Finding the Third Proportional to 702,437.06 and 1,003,764.66

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Solution

The third proportional to 702,437.06 and 1,003,764.66 is: 1,434,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,437.06 : 1,003,764.66 = 1,003,764.66 : x
  2. Step 2: Convert to fraction form
    702,437.06/1,003,764.66 = 1,003,764.66/x
  3. Step 3: Cross multiply
    702,437.06x = 1,003,764.66 × 1,003,764.66
  4. Step 4: Simplify right side
    702,437.06x = 1,007,543,485,136.68
  5. Step 5: Solve for x
    x = 1,007,543,485,136.68/702,437.06
  6. Step 6: Final answer
    x = 1,434,354.11

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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.