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Finding the Third Proportional to 298,564 and 462,270

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Solution

The third proportional to 298,564 and 462,270 is: 715,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,564 : 462,270 = 462,270 : x
  2. Step 2: Convert to fraction form
    298,564/462,270 = 462,270/x
  3. Step 3: Cross multiply
    298,564x = 462,270 × 462,270
  4. Step 4: Simplify right side
    298,564x = 213,693,552,900
  5. Step 5: Solve for x
    x = 213,693,552,900/298,564
  6. Step 6: Final answer
    x = 715,737.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.