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Finding the Third Proportional to 282,292 and 605,516

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Solution

The third proportional to 282,292 and 605,516 is: 1,298,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,292 : 605,516 = 605,516 : x
  2. Step 2: Convert to fraction form
    282,292/605,516 = 605,516/x
  3. Step 3: Cross multiply
    282,292x = 605,516 × 605,516
  4. Step 4: Simplify right side
    282,292x = 366,649,626,256
  5. Step 5: Solve for x
    x = 366,649,626,256/282,292
  6. Step 6: Final answer
    x = 1,298,831.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.