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Finding the Third Proportional to 584,832 and 874,944

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Solution

The third proportional to 584,832 and 874,944 is: 1,308,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,832 : 874,944 = 874,944 : x
  2. Step 2: Convert to fraction form
    584,832/874,944 = 874,944/x
  3. Step 3: Cross multiply
    584,832x = 874,944 × 874,944
  4. Step 4: Simplify right side
    584,832x = 765,527,003,136
  5. Step 5: Solve for x
    x = 765,527,003,136/584,832
  6. Step 6: Final answer
    x = 1,308,969.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.