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Finding the Third Proportional to 416,055 and 594,525

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Solution

The third proportional to 416,055 and 594,525 is: 849,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,055 : 594,525 = 594,525 : x
  2. Step 2: Convert to fraction form
    416,055/594,525 = 594,525/x
  3. Step 3: Cross multiply
    416,055x = 594,525 × 594,525
  4. Step 4: Simplify right side
    416,055x = 353,459,975,625
  5. Step 5: Solve for x
    x = 353,459,975,625/416,055
  6. Step 6: Final answer
    x = 849,551.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.