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Finding the Third Proportional to 458,848.13 and 930,509.44

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Solution

The third proportional to 458,848.13 and 930,509.44 is: 1,887,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,848.13 : 930,509.44 = 930,509.44 : x
  2. Step 2: Convert to fraction form
    458,848.13/930,509.44 = 930,509.44/x
  3. Step 3: Cross multiply
    458,848.13x = 930,509.44 × 930,509.44
  4. Step 4: Simplify right side
    458,848.13x = 865,847,813,276.57
  5. Step 5: Solve for x
    x = 865,847,813,276.57/458,848.13
  6. Step 6: Final answer
    x = 1,887,003.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.