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Finding the Third Proportional to 219,295.50 and 455,829

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Solution

The third proportional to 219,295.50 and 455,829 is: 947,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,295.50 : 455,829 = 455,829 : x
  2. Step 2: Convert to fraction form
    219,295.50/455,829 = 455,829/x
  3. Step 3: Cross multiply
    219,295.50x = 455,829 × 455,829
  4. Step 4: Simplify right side
    219,295.50x = 207,780,077,241
  5. Step 5: Solve for x
    x = 207,780,077,241/219,295.50
  6. Step 6: Final answer
    x = 947,489.01

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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.