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Finding the Third Proportional to 306,416.25 and 654,525

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Solution

The third proportional to 306,416.25 and 654,525 is: 1,398,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,416.25 : 654,525 = 654,525 : x
  2. Step 2: Convert to fraction form
    306,416.25/654,525 = 654,525/x
  3. Step 3: Cross multiply
    306,416.25x = 654,525 × 654,525
  4. Step 4: Simplify right side
    306,416.25x = 428,402,975,625
  5. Step 5: Solve for x
    x = 428,402,975,625/306,416.25
  6. Step 6: Final answer
    x = 1,398,107.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.