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Finding the Third Proportional to 219,364.88 and 455,953.50

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Solution

The third proportional to 219,364.88 and 455,953.50 is: 947,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,364.88 : 455,953.50 = 455,953.50 : x
  2. Step 2: Convert to fraction form
    219,364.88/455,953.50 = 455,953.50/x
  3. Step 3: Cross multiply
    219,364.88x = 455,953.50 × 455,953.50
  4. Step 4: Simplify right side
    219,364.88x = 207,893,594,162.25
  5. Step 5: Solve for x
    x = 207,893,594,162.25/219,364.88
  6. Step 6: Final answer
    x = 947,706.85

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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.