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Finding the Third Proportional to 251,484.75 and 586,915.88

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Solution

The third proportional to 251,484.75 and 586,915.88 is: 1,369,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,484.75 : 586,915.88 = 586,915.88 : x
  2. Step 2: Convert to fraction form
    251,484.75/586,915.88 = 586,915.88/x
  3. Step 3: Cross multiply
    251,484.75x = 586,915.88 × 586,915.88
  4. Step 4: Simplify right side
    251,484.75x = 344,470,244,327.02
  5. Step 5: Solve for x
    x = 344,470,244,327.02/251,484.75
  6. Step 6: Final answer
    x = 1,369,746.06

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.