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Finding the Third Proportional to 282,584 and 613,768

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Solution

The third proportional to 282,584 and 613,768 is: 1,333,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,584 : 613,768 = 613,768 : x
  2. Step 2: Convert to fraction form
    282,584/613,768 = 613,768/x
  3. Step 3: Cross multiply
    282,584x = 613,768 × 613,768
  4. Step 4: Simplify right side
    282,584x = 376,711,157,824
  5. Step 5: Solve for x
    x = 376,711,157,824/282,584
  6. Step 6: Final answer
    x = 1,333,094.44

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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.