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Finding the Third Proportional to 219,432 and 472,992

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Solution

The third proportional to 219,432 and 472,992 is: 1,019,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,432 : 472,992 = 472,992 : x
  2. Step 2: Convert to fraction form
    219,432/472,992 = 472,992/x
  3. Step 3: Cross multiply
    219,432x = 472,992 × 472,992
  4. Step 4: Simplify right side
    219,432x = 223,721,432,064
  5. Step 5: Solve for x
    x = 223,721,432,064/219,432
  6. Step 6: Final answer
    x = 1,019,547.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.