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Finding the Third Proportional to 470,586 and 710,267

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Solution

The third proportional to 470,586 and 710,267 is: 1,072,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,586 : 710,267 = 710,267 : x
  2. Step 2: Convert to fraction form
    470,586/710,267 = 710,267/x
  3. Step 3: Cross multiply
    470,586x = 710,267 × 710,267
  4. Step 4: Simplify right side
    470,586x = 504,479,211,289
  5. Step 5: Solve for x
    x = 504,479,211,289/470,586
  6. Step 6: Final answer
    x = 1,072,023.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.