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Finding the Third Proportional to 242,922.94 and 533,671.88

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Solution

The third proportional to 242,922.94 and 533,671.88 is: 1,172,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,922.94 : 533,671.88 = 533,671.88 : x
  2. Step 2: Convert to fraction form
    242,922.94/533,671.88 = 533,671.88/x
  3. Step 3: Cross multiply
    242,922.94x = 533,671.88 × 533,671.88
  4. Step 4: Simplify right side
    242,922.94x = 284,805,670,166.02
  5. Step 5: Solve for x
    x = 284,805,670,166.02/242,922.94
  6. Step 6: Final answer
    x = 1,172,411.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.