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Finding the Third Proportional to 665,085.94 and 1,031,788.13

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Solution

The third proportional to 665,085.94 and 1,031,788.13 is: 1,600,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,085.94 : 1,031,788.13 = 1,031,788.13 : x
  2. Step 2: Convert to fraction form
    665,085.94/1,031,788.13 = 1,031,788.13/x
  3. Step 3: Cross multiply
    665,085.94x = 1,031,788.13 × 1,031,788.13
  4. Step 4: Simplify right side
    665,085.94x = 1,064,586,734,891.02
  5. Step 5: Solve for x
    x = 1,064,586,734,891.02/665,085.94
  6. Step 6: Final answer
    x = 1,600,675.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.