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Finding the Third Proportional to 219,089 and 448,562

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Solution

The third proportional to 219,089 and 448,562 is: 918,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,089 : 448,562 = 448,562 : x
  2. Step 2: Convert to fraction form
    219,089/448,562 = 448,562/x
  3. Step 3: Cross multiply
    219,089x = 448,562 × 448,562
  4. Step 4: Simplify right side
    219,089x = 201,207,867,844
  5. Step 5: Solve for x
    x = 201,207,867,844/219,089
  6. Step 6: Final answer
    x = 918,384.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.