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Finding the Third Proportional to 665,030.25 and 1,031,853.94

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Solution

The third proportional to 665,030.25 and 1,031,853.94 is: 1,601,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,030.25 : 1,031,853.94 = 1,031,853.94 : x
  2. Step 2: Convert to fraction form
    665,030.25/1,031,853.94 = 1,031,853.94/x
  3. Step 3: Cross multiply
    665,030.25x = 1,031,853.94 × 1,031,853.94
  4. Step 4: Simplify right side
    665,030.25x = 1,064,722,548,334.25
  5. Step 5: Solve for x
    x = 1,064,722,548,334.25/665,030.25
  6. Step 6: Final answer
    x = 1,601,013.71

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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.