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Finding the Third Proportional to 494,808.75 and 740,026.13

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Solution

The third proportional to 494,808.75 and 740,026.13 is: 1,106,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,808.75 : 740,026.13 = 740,026.13 : x
  2. Step 2: Convert to fraction form
    494,808.75/740,026.13 = 740,026.13/x
  3. Step 3: Cross multiply
    494,808.75x = 740,026.13 × 740,026.13
  4. Step 4: Simplify right side
    494,808.75x = 547,638,665,682.52
  5. Step 5: Solve for x
    x = 547,638,665,682.52/494,808.75
  6. Step 6: Final answer
    x = 1,106,768.35

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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.