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Finding the Third Proportional to 298,757 and 448,460

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Solution

The third proportional to 298,757 and 448,460 is: 673,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,757 : 448,460 = 448,460 : x
  2. Step 2: Convert to fraction form
    298,757/448,460 = 448,460/x
  3. Step 3: Cross multiply
    298,757x = 448,460 × 448,460
  4. Step 4: Simplify right side
    298,757x = 201,116,371,600
  5. Step 5: Solve for x
    x = 201,116,371,600/298,757
  6. Step 6: Final answer
    x = 673,177.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.