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Finding the Third Proportional to 219,327 and 455,884.50

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Solution

The third proportional to 219,327 and 455,884.50 is: 947,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,327 : 455,884.50 = 455,884.50 : x
  2. Step 2: Convert to fraction form
    219,327/455,884.50 = 455,884.50/x
  3. Step 3: Cross multiply
    219,327x = 455,884.50 × 455,884.50
  4. Step 4: Simplify right side
    219,327x = 207,830,677,340.25
  5. Step 5: Solve for x
    x = 207,830,677,340.25/219,327
  6. Step 6: Final answer
    x = 947,583.64

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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.