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Finding the Third Proportional to 272,865 and 574,007

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Solution

The third proportional to 272,865 and 574,007 is: 1,207,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,865 : 574,007 = 574,007 : x
  2. Step 2: Convert to fraction form
    272,865/574,007 = 574,007/x
  3. Step 3: Cross multiply
    272,865x = 574,007 × 574,007
  4. Step 4: Simplify right side
    272,865x = 329,484,036,049
  5. Step 5: Solve for x
    x = 329,484,036,049/272,865
  6. Step 6: Final answer
    x = 1,207,498.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.