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Finding the Third Proportional to 298,566 and 462,273

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Solution

The third proportional to 298,566 and 462,273 is: 715,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,566 : 462,273 = 462,273 : x
  2. Step 2: Convert to fraction form
    298,566/462,273 = 462,273/x
  3. Step 3: Cross multiply
    298,566x = 462,273 × 462,273
  4. Step 4: Simplify right side
    298,566x = 213,696,326,529
  5. Step 5: Solve for x
    x = 213,696,326,529/298,566
  6. Step 6: Final answer
    x = 715,742.34

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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.