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Finding the Third Proportional to 282,312 and 605,568

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Solution

The third proportional to 282,312 and 605,568 is: 1,298,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,312 : 605,568 = 605,568 : x
  2. Step 2: Convert to fraction form
    282,312/605,568 = 605,568/x
  3. Step 3: Cross multiply
    282,312x = 605,568 × 605,568
  4. Step 4: Simplify right side
    282,312x = 366,712,602,624
  5. Step 5: Solve for x
    x = 366,712,602,624/282,312
  6. Step 6: Final answer
    x = 1,298,962.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.