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Finding the Third Proportional to 420,725 and 866,259

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Solution

The third proportional to 420,725 and 866,259 is: 1,783,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,725 : 866,259 = 866,259 : x
  2. Step 2: Convert to fraction form
    420,725/866,259 = 866,259/x
  3. Step 3: Cross multiply
    420,725x = 866,259 × 866,259
  4. Step 4: Simplify right side
    420,725x = 750,404,655,081
  5. Step 5: Solve for x
    x = 750,404,655,081/420,725
  6. Step 6: Final answer
    x = 1,783,598.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.