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Finding the Third Proportional to 275,298.75 and 403,850.25

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Solution

The third proportional to 275,298.75 and 403,850.25 is: 592,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,298.75 : 403,850.25 = 403,850.25 : x
  2. Step 2: Convert to fraction form
    275,298.75/403,850.25 = 403,850.25/x
  3. Step 3: Cross multiply
    275,298.75x = 403,850.25 × 403,850.25
  4. Step 4: Simplify right side
    275,298.75x = 163,095,024,425.06
  5. Step 5: Solve for x
    x = 163,095,024,425.06/275,298.75
  6. Step 6: Final answer
    x = 592,429.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.