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Finding the Third Proportional to 243,962 and 528,648

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Solution

The third proportional to 243,962 and 528,648 is: 1,145,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,962 : 528,648 = 528,648 : x
  2. Step 2: Convert to fraction form
    243,962/528,648 = 528,648/x
  3. Step 3: Cross multiply
    243,962x = 528,648 × 528,648
  4. Step 4: Simplify right side
    243,962x = 279,468,707,904
  5. Step 5: Solve for x
    x = 279,468,707,904/243,962
  6. Step 6: Final answer
    x = 1,145,541.96

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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.