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Finding the Third Proportional to 384,200.63 and 577,541.25

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Solution

The third proportional to 384,200.63 and 577,541.25 is: 868,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,200.63 : 577,541.25 = 577,541.25 : x
  2. Step 2: Convert to fraction form
    384,200.63/577,541.25 = 577,541.25/x
  3. Step 3: Cross multiply
    384,200.63x = 577,541.25 × 577,541.25
  4. Step 4: Simplify right side
    384,200.63x = 333,553,895,451.56
  5. Step 5: Solve for x
    x = 333,553,895,451.56/384,200.63
  6. Step 6: Final answer
    x = 868,176.35

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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.