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Finding the Third Proportional to 219,292.31 and 455,822.44

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Solution

The third proportional to 219,292.31 and 455,822.44 is: 947,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,292.31 : 455,822.44 = 455,822.44 : x
  2. Step 2: Convert to fraction form
    219,292.31/455,822.44 = 455,822.44/x
  3. Step 3: Cross multiply
    219,292.31x = 455,822.44 × 455,822.44
  4. Step 4: Simplify right side
    219,292.31x = 207,774,094,528.44
  5. Step 5: Solve for x
    x = 207,774,094,528.44/219,292.31
  6. Step 6: Final answer
    x = 947,475.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.