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Finding the Third Proportional to 219,253 and 472,346

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Solution

The third proportional to 219,253 and 472,346 is: 1,017,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,253 : 472,346 = 472,346 : x
  2. Step 2: Convert to fraction form
    219,253/472,346 = 472,346/x
  3. Step 3: Cross multiply
    219,253x = 472,346 × 472,346
  4. Step 4: Simplify right side
    219,253x = 223,110,743,716
  5. Step 5: Solve for x
    x = 223,110,743,716/219,253
  6. Step 6: Final answer
    x = 1,017,594.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.