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Finding the Third Proportional to 219,088 and 448,560

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Solution

The third proportional to 219,088 and 448,560 is: 918,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,088 : 448,560 = 448,560 : x
  2. Step 2: Convert to fraction form
    219,088/448,560 = 448,560/x
  3. Step 3: Cross multiply
    219,088x = 448,560 × 448,560
  4. Step 4: Simplify right side
    219,088x = 201,206,073,600
  5. Step 5: Solve for x
    x = 201,206,073,600/219,088
  6. Step 6: Final answer
    x = 918,380.17

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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.