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Finding the Third Proportional to 219,079.50 and 448,521

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Solution

The third proportional to 219,079.50 and 448,521 is: 918,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,079.50 : 448,521 = 448,521 : x
  2. Step 2: Convert to fraction form
    219,079.50/448,521 = 448,521/x
  3. Step 3: Cross multiply
    219,079.50x = 448,521 × 448,521
  4. Step 4: Simplify right side
    219,079.50x = 201,171,087,441
  5. Step 5: Solve for x
    x = 201,171,087,441/219,079.50
  6. Step 6: Final answer
    x = 918,256.10

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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.