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Finding the Third Proportional to 213,461 and 450,432

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Solution

The third proportional to 213,461 and 450,432 is: 950,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,461 : 450,432 = 450,432 : x
  2. Step 2: Convert to fraction form
    213,461/450,432 = 450,432/x
  3. Step 3: Cross multiply
    213,461x = 450,432 × 450,432
  4. Step 4: Simplify right side
    213,461x = 202,888,986,624
  5. Step 5: Solve for x
    x = 202,888,986,624/213,461
  6. Step 6: Final answer
    x = 950,473.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.