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Finding the Third Proportional to 552,138 and 824,907

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Solution

The third proportional to 552,138 and 824,907 is: 1,232,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,138 : 824,907 = 824,907 : x
  2. Step 2: Convert to fraction form
    552,138/824,907 = 824,907/x
  3. Step 3: Cross multiply
    552,138x = 824,907 × 824,907
  4. Step 4: Simplify right side
    552,138x = 680,471,558,649
  5. Step 5: Solve for x
    x = 680,471,558,649/552,138
  6. Step 6: Final answer
    x = 1,232,430.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.