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Finding the Third Proportional to 296,305 and 470,701

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Solution

The third proportional to 296,305 and 470,701 is: 747,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,305 : 470,701 = 470,701 : x
  2. Step 2: Convert to fraction form
    296,305/470,701 = 470,701/x
  3. Step 3: Cross multiply
    296,305x = 470,701 × 470,701
  4. Step 4: Simplify right side
    296,305x = 221,559,431,401
  5. Step 5: Solve for x
    x = 221,559,431,401/296,305
  6. Step 6: Final answer
    x = 747,741.12

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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.