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Finding the Third Proportional to 384,277.50 and 577,651.50

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Solution

The third proportional to 384,277.50 and 577,651.50 is: 868,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,277.50 : 577,651.50 = 577,651.50 : x
  2. Step 2: Convert to fraction form
    384,277.50/577,651.50 = 577,651.50/x
  3. Step 3: Cross multiply
    384,277.50x = 577,651.50 × 577,651.50
  4. Step 4: Simplify right side
    384,277.50x = 333,681,255,452.25
  5. Step 5: Solve for x
    x = 333,681,255,452.25/384,277.50
  6. Step 6: Final answer
    x = 868,334.10

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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.