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Finding the Third Proportional to 283,060 and 610,396

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Solution

The third proportional to 283,060 and 610,396 is: 1,316,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,060 : 610,396 = 610,396 : x
  2. Step 2: Convert to fraction form
    283,060/610,396 = 610,396/x
  3. Step 3: Cross multiply
    283,060x = 610,396 × 610,396
  4. Step 4: Simplify right side
    283,060x = 372,583,276,816
  5. Step 5: Solve for x
    x = 372,583,276,816/283,060
  6. Step 6: Final answer
    x = 1,316,269.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.