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Finding the Third Proportional to 364,140.50 and 569,979.50

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Solution

The third proportional to 364,140.50 and 569,979.50 is: 892,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,140.50 : 569,979.50 = 569,979.50 : x
  2. Step 2: Convert to fraction form
    364,140.50/569,979.50 = 569,979.50/x
  3. Step 3: Cross multiply
    364,140.50x = 569,979.50 × 569,979.50
  4. Step 4: Simplify right side
    364,140.50x = 324,876,630,420.25
  5. Step 5: Solve for x
    x = 324,876,630,420.25/364,140.50
  6. Step 6: Final answer
    x = 892,173.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.