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Finding the Third Proportional to 394,810.50 and 577,473

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Solution

The third proportional to 394,810.50 and 577,473 is: 844,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,810.50 : 577,473 = 577,473 : x
  2. Step 2: Convert to fraction form
    394,810.50/577,473 = 577,473/x
  3. Step 3: Cross multiply
    394,810.50x = 577,473 × 577,473
  4. Step 4: Simplify right side
    394,810.50x = 333,475,065,729
  5. Step 5: Solve for x
    x = 333,475,065,729/394,810.50
  6. Step 6: Final answer
    x = 844,645.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.