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Finding the Third Proportional to 288,246.94 and 613,915.88

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Solution

The third proportional to 288,246.94 and 613,915.88 is: 1,307,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,246.94 : 613,915.88 = 613,915.88 : x
  2. Step 2: Convert to fraction form
    288,246.94/613,915.88 = 613,915.88/x
  3. Step 3: Cross multiply
    288,246.94x = 613,915.88 × 613,915.88
  4. Step 4: Simplify right side
    288,246.94x = 376,892,701,577.02
  5. Step 5: Solve for x
    x = 376,892,701,577.02/288,246.94
  6. Step 6: Final answer
    x = 1,307,534.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.