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Finding the Third Proportional to 564,249.50 and 874,669

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Solution

The third proportional to 564,249.50 and 874,669 is: 1,355,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,249.50 : 874,669 = 874,669 : x
  2. Step 2: Convert to fraction form
    564,249.50/874,669 = 874,669/x
  3. Step 3: Cross multiply
    564,249.50x = 874,669 × 874,669
  4. Step 4: Simplify right side
    564,249.50x = 765,045,859,561
  5. Step 5: Solve for x
    x = 765,045,859,561/564,249.50
  6. Step 6: Final answer
    x = 1,355,864.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.