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Finding the Third Proportional to 298,518 and 452,097

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Solution

The third proportional to 298,518 and 452,097 is: 684,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,518 : 452,097 = 452,097 : x
  2. Step 2: Convert to fraction form
    298,518/452,097 = 452,097/x
  3. Step 3: Cross multiply
    298,518x = 452,097 × 452,097
  4. Step 4: Simplify right side
    298,518x = 204,391,697,409
  5. Step 5: Solve for x
    x = 204,391,697,409/298,518
  6. Step 6: Final answer
    x = 684,688.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.