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Finding the Third Proportional to 242,733 and 528,073

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Solution

The third proportional to 242,733 and 528,073 is: 1,148,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,733 : 528,073 = 528,073 : x
  2. Step 2: Convert to fraction form
    242,733/528,073 = 528,073/x
  3. Step 3: Cross multiply
    242,733x = 528,073 × 528,073
  4. Step 4: Simplify right side
    242,733x = 278,861,093,329
  5. Step 5: Solve for x
    x = 278,861,093,329/242,733
  6. Step 6: Final answer
    x = 1,148,838.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.