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Finding the Third Proportional to 219,094 and 448,572

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Solution

The third proportional to 219,094 and 448,572 is: 918,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,094 : 448,572 = 448,572 : x
  2. Step 2: Convert to fraction form
    219,094/448,572 = 448,572/x
  3. Step 3: Cross multiply
    219,094x = 448,572 × 448,572
  4. Step 4: Simplify right side
    219,094x = 201,216,839,184
  5. Step 5: Solve for x
    x = 201,216,839,184/219,094
  6. Step 6: Final answer
    x = 918,404.15

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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.