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Finding the Third Proportional to 353,766 and 498,966

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Solution

The third proportional to 353,766 and 498,966 is: 703,762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,766 : 498,966 = 498,966 : x
  2. Step 2: Convert to fraction form
    353,766/498,966 = 498,966/x
  3. Step 3: Cross multiply
    353,766x = 498,966 × 498,966
  4. Step 4: Simplify right side
    353,766x = 248,967,069,156
  5. Step 5: Solve for x
    x = 248,967,069,156/353,766
  6. Step 6: Final answer
    x = 703,762.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.