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Finding the Third Proportional to 234,962.02 and 482,373.98

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Solution

The third proportional to 234,962.02 and 482,373.98 is: 990,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,962.02 : 482,373.98 = 482,373.98 : x
  2. Step 2: Convert to fraction form
    234,962.02/482,373.98 = 482,373.98/x
  3. Step 3: Cross multiply
    234,962.02x = 482,373.98 × 482,373.98
  4. Step 4: Simplify right side
    234,962.02x = 232,684,660,801.81
  5. Step 5: Solve for x
    x = 232,684,660,801.81/234,962.02
  6. Step 6: Final answer
    x = 990,307.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.