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Finding the Third Proportional to 298,724 and 473,244

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Solution

The third proportional to 298,724 and 473,244 is: 749,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,724 : 473,244 = 473,244 : x
  2. Step 2: Convert to fraction form
    298,724/473,244 = 473,244/x
  3. Step 3: Cross multiply
    298,724x = 473,244 × 473,244
  4. Step 4: Simplify right side
    298,724x = 223,959,883,536
  5. Step 5: Solve for x
    x = 223,959,883,536/298,724
  6. Step 6: Final answer
    x = 749,721.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.