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Finding the Third Proportional to 420,741 and 574,823.25

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Solution

The third proportional to 420,741 and 574,823.25 is: 785,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,741 : 574,823.25 = 574,823.25 : x
  2. Step 2: Convert to fraction form
    420,741/574,823.25 = 574,823.25/x
  3. Step 3: Cross multiply
    420,741x = 574,823.25 × 574,823.25
  4. Step 4: Simplify right side
    420,741x = 330,421,768,740.56
  5. Step 5: Solve for x
    x = 330,421,768,740.56/420,741
  6. Step 6: Final answer
    x = 785,332.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.