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Finding the Third Proportional to 282,726 and 614,538

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Solution

The third proportional to 282,726 and 614,538 is: 1,335,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,726 : 614,538 = 614,538 : x
  2. Step 2: Convert to fraction form
    282,726/614,538 = 614,538/x
  3. Step 3: Cross multiply
    282,726x = 614,538 × 614,538
  4. Step 4: Simplify right side
    282,726x = 377,656,953,444
  5. Step 5: Solve for x
    x = 377,656,953,444/282,726
  6. Step 6: Final answer
    x = 1,335,770.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.