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Finding the Third Proportional to 213,588 and 469,810

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Solution

The third proportional to 213,588 and 469,810 is: 1,033,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,588 : 469,810 = 469,810 : x
  2. Step 2: Convert to fraction form
    213,588/469,810 = 469,810/x
  3. Step 3: Cross multiply
    213,588x = 469,810 × 469,810
  4. Step 4: Simplify right side
    213,588x = 220,721,436,100
  5. Step 5: Solve for x
    x = 220,721,436,100/213,588
  6. Step 6: Final answer
    x = 1,033,398.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.