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Finding the Third Proportional to 219,298 and 468,548

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Solution

The third proportional to 219,298 and 468,548 is: 1,001,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,298 : 468,548 = 468,548 : x
  2. Step 2: Convert to fraction form
    219,298/468,548 = 468,548/x
  3. Step 3: Cross multiply
    219,298x = 468,548 × 468,548
  4. Step 4: Simplify right side
    219,298x = 219,537,228,304
  5. Step 5: Solve for x
    x = 219,537,228,304/219,298
  6. Step 6: Final answer
    x = 1,001,090.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.