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Finding the Third Proportional to 298,812 and 473,376

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Solution

The third proportional to 298,812 and 473,376 is: 749,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,812 : 473,376 = 473,376 : x
  2. Step 2: Convert to fraction form
    298,812/473,376 = 473,376/x
  3. Step 3: Cross multiply
    298,812x = 473,376 × 473,376
  4. Step 4: Simplify right side
    298,812x = 224,084,837,376
  5. Step 5: Solve for x
    x = 224,084,837,376/298,812
  6. Step 6: Final answer
    x = 749,919.14

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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.