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Finding the Third Proportional to 296,406 and 470,862

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Solution

The third proportional to 296,406 and 470,862 is: 747,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,406 : 470,862 = 470,862 : x
  2. Step 2: Convert to fraction form
    296,406/470,862 = 470,862/x
  3. Step 3: Cross multiply
    296,406x = 470,862 × 470,862
  4. Step 4: Simplify right side
    296,406x = 221,711,023,044
  5. Step 5: Solve for x
    x = 221,711,023,044/296,406
  6. Step 6: Final answer
    x = 747,997.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.