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Finding the Third Proportional to 296,334 and 470,745

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Solution

The third proportional to 296,334 and 470,745 is: 747,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,334 : 470,745 = 470,745 : x
  2. Step 2: Convert to fraction form
    296,334/470,745 = 470,745/x
  3. Step 3: Cross multiply
    296,334x = 470,745 × 470,745
  4. Step 4: Simplify right side
    296,334x = 221,600,855,025
  5. Step 5: Solve for x
    x = 221,600,855,025/296,334
  6. Step 6: Final answer
    x = 747,807.73

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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.