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Finding the Third Proportional to 458,005.64 and 967,679.16

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Solution

The third proportional to 458,005.64 and 967,679.16 is: 2,044,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,005.64 : 967,679.16 = 967,679.16 : x
  2. Step 2: Convert to fraction form
    458,005.64/967,679.16 = 967,679.16/x
  3. Step 3: Cross multiply
    458,005.64x = 967,679.16 × 967,679.16
  4. Step 4: Simplify right side
    458,005.64x = 936,402,949,440.71
  5. Step 5: Solve for x
    x = 936,402,949,440.71/458,005.64
  6. Step 6: Final answer
    x = 2,044,522.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.