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Finding the Third Proportional to 227,820 and 498,528

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Solution

The third proportional to 227,820 and 498,528 is: 1,090,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,820 : 498,528 = 498,528 : x
  2. Step 2: Convert to fraction form
    227,820/498,528 = 498,528/x
  3. Step 3: Cross multiply
    227,820x = 498,528 × 498,528
  4. Step 4: Simplify right side
    227,820x = 248,530,166,784
  5. Step 5: Solve for x
    x = 248,530,166,784/227,820
  6. Step 6: Final answer
    x = 1,090,905.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.