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Finding the Third Proportional to 365,515.50 and 564,868.50

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Solution

The third proportional to 365,515.50 and 564,868.50 is: 872,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,515.50 : 564,868.50 = 564,868.50 : x
  2. Step 2: Convert to fraction form
    365,515.50/564,868.50 = 564,868.50/x
  3. Step 3: Cross multiply
    365,515.50x = 564,868.50 × 564,868.50
  4. Step 4: Simplify right side
    365,515.50x = 319,076,422,292.25
  5. Step 5: Solve for x
    x = 319,076,422,292.25/365,515.50
  6. Step 6: Final answer
    x = 872,949.09

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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.