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Finding the Third Proportional to 435,233.25 and 665,732.25

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Solution

The third proportional to 435,233.25 and 665,732.25 is: 1,018,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,233.25 : 665,732.25 = 665,732.25 : x
  2. Step 2: Convert to fraction form
    435,233.25/665,732.25 = 665,732.25/x
  3. Step 3: Cross multiply
    435,233.25x = 665,732.25 × 665,732.25
  4. Step 4: Simplify right side
    435,233.25x = 443,199,428,690.06
  5. Step 5: Solve for x
    x = 443,199,428,690.06/435,233.25
  6. Step 6: Final answer
    x = 1,018,303.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.