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Finding the Third Proportional to 216,416.81 and 469,511.44

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Solution

The third proportional to 216,416.81 and 469,511.44 is: 1,018,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,416.81 : 469,511.44 = 469,511.44 : x
  2. Step 2: Convert to fraction form
    216,416.81/469,511.44 = 469,511.44/x
  3. Step 3: Cross multiply
    216,416.81x = 469,511.44 × 469,511.44
  4. Step 4: Simplify right side
    216,416.81x = 220,440,989,943.32
  5. Step 5: Solve for x
    x = 220,440,989,943.32/216,416.81
  6. Step 6: Final answer
    x = 1,018,594.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.