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Finding the Third Proportional to 219,346 and 476,276

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Solution

The third proportional to 219,346 and 476,276 is: 1,034,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,346 : 476,276 = 476,276 : x
  2. Step 2: Convert to fraction form
    219,346/476,276 = 476,276/x
  3. Step 3: Cross multiply
    219,346x = 476,276 × 476,276
  4. Step 4: Simplify right side
    219,346x = 226,838,828,176
  5. Step 5: Solve for x
    x = 226,838,828,176/219,346
  6. Step 6: Final answer
    x = 1,034,159.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.