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Finding the Third Proportional to 552,724 and 810,942

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Solution

The third proportional to 552,724 and 810,942 is: 1,189,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,724 : 810,942 = 810,942 : x
  2. Step 2: Convert to fraction form
    552,724/810,942 = 810,942/x
  3. Step 3: Cross multiply
    552,724x = 810,942 × 810,942
  4. Step 4: Simplify right side
    552,724x = 657,626,927,364
  5. Step 5: Solve for x
    x = 657,626,927,364/552,724
  6. Step 6: Final answer
    x = 1,189,792.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.