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Finding the Third Proportional to 714,421 and 970,263

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Solution

The third proportional to 714,421 and 970,263 is: 1,317,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,421 : 970,263 = 970,263 : x
  2. Step 2: Convert to fraction form
    714,421/970,263 = 970,263/x
  3. Step 3: Cross multiply
    714,421x = 970,263 × 970,263
  4. Step 4: Simplify right side
    714,421x = 941,410,289,169
  5. Step 5: Solve for x
    x = 941,410,289,169/714,421
  6. Step 6: Final answer
    x = 1,317,724.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.