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Finding the Third Proportional to 406,293.75 and 875,025

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Solution

The third proportional to 406,293.75 and 875,025 is: 1,884,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,293.75 : 875,025 = 875,025 : x
  2. Step 2: Convert to fraction form
    406,293.75/875,025 = 875,025/x
  3. Step 3: Cross multiply
    406,293.75x = 875,025 × 875,025
  4. Step 4: Simplify right side
    406,293.75x = 765,668,750,625
  5. Step 5: Solve for x
    x = 765,668,750,625/406,293.75
  6. Step 6: Final answer
    x = 1,884,520.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.