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Finding the Third Proportional to 282,000 and 610,737

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Solution

The third proportional to 282,000 and 610,737 is: 1,322,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,000 : 610,737 = 610,737 : x
  2. Step 2: Convert to fraction form
    282,000/610,737 = 610,737/x
  3. Step 3: Cross multiply
    282,000x = 610,737 × 610,737
  4. Step 4: Simplify right side
    282,000x = 372,999,683,169
  5. Step 5: Solve for x
    x = 372,999,683,169/282,000
  6. Step 6: Final answer
    x = 1,322,693.91

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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.