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Finding the Third Proportional to 296,178 and 470,508

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Solution

The third proportional to 296,178 and 470,508 is: 747,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,178 : 470,508 = 470,508 : x
  2. Step 2: Convert to fraction form
    296,178/470,508 = 470,508/x
  3. Step 3: Cross multiply
    296,178x = 470,508 × 470,508
  4. Step 4: Simplify right side
    296,178x = 221,377,778,064
  5. Step 5: Solve for x
    x = 221,377,778,064/296,178
  6. Step 6: Final answer
    x = 747,448.42

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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.