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Finding the Third Proportional to 296,298 and 470,691

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Solution

The third proportional to 296,298 and 470,691 is: 747,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,298 : 470,691 = 470,691 : x
  2. Step 2: Convert to fraction form
    296,298/470,691 = 470,691/x
  3. Step 3: Cross multiply
    296,298x = 470,691 × 470,691
  4. Step 4: Simplify right side
    296,298x = 221,550,017,481
  5. Step 5: Solve for x
    x = 221,550,017,481/296,298
  6. Step 6: Final answer
    x = 747,727.01

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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.