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Finding the Third Proportional to 583,200.84 and 874,801.69

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Solution

The third proportional to 583,200.84 and 874,801.69 is: 1,312,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,200.84 : 874,801.69 = 874,801.69 : x
  2. Step 2: Convert to fraction form
    583,200.84/874,801.69 = 874,801.69/x
  3. Step 3: Cross multiply
    583,200.84x = 874,801.69 × 874,801.69
  4. Step 4: Simplify right side
    583,200.84x = 765,277,992,452.85
  5. Step 5: Solve for x
    x = 765,277,992,452.85/583,200.84
  6. Step 6: Final answer
    x = 1,312,203.16

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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.