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Finding the Third Proportional to 219,024 and 448,416

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Solution

The third proportional to 219,024 and 448,416 is: 918,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,024 : 448,416 = 448,416 : x
  2. Step 2: Convert to fraction form
    219,024/448,416 = 448,416/x
  3. Step 3: Cross multiply
    219,024x = 448,416 × 448,416
  4. Step 4: Simplify right side
    219,024x = 201,076,909,056
  5. Step 5: Solve for x
    x = 201,076,909,056/219,024
  6. Step 6: Final answer
    x = 918,058.79

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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.