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Finding the Third Proportional to 458,298 and 993,060

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Solution

The third proportional to 458,298 and 993,060 is: 2,151,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,298 : 993,060 = 993,060 : x
  2. Step 2: Convert to fraction form
    458,298/993,060 = 993,060/x
  3. Step 3: Cross multiply
    458,298x = 993,060 × 993,060
  4. Step 4: Simplify right side
    458,298x = 986,168,163,600
  5. Step 5: Solve for x
    x = 986,168,163,600/458,298
  6. Step 6: Final answer
    x = 2,151,805.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.