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Finding the Third Proportional to 369,702 and 552,089

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Solution

The third proportional to 369,702 and 552,089 is: 824,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,702 : 552,089 = 552,089 : x
  2. Step 2: Convert to fraction form
    369,702/552,089 = 552,089/x
  3. Step 3: Cross multiply
    369,702x = 552,089 × 552,089
  4. Step 4: Simplify right side
    369,702x = 304,802,263,921
  5. Step 5: Solve for x
    x = 304,802,263,921/369,702
  6. Step 6: Final answer
    x = 824,453.92

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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.