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Finding the Third Proportional to 310,514.25 and 665,295

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Solution

The third proportional to 310,514.25 and 665,295 is: 1,425,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,514.25 : 665,295 = 665,295 : x
  2. Step 2: Convert to fraction form
    310,514.25/665,295 = 665,295/x
  3. Step 3: Cross multiply
    310,514.25x = 665,295 × 665,295
  4. Step 4: Simplify right side
    310,514.25x = 442,617,437,025
  5. Step 5: Solve for x
    x = 442,617,437,025/310,514.25
  6. Step 6: Final answer
    x = 1,425,433.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.