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Finding the Third Proportional to 427,517 and 601,294.50

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Solution

The third proportional to 427,517 and 601,294.50 is: 845,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,517 : 601,294.50 = 601,294.50 : x
  2. Step 2: Convert to fraction form
    427,517/601,294.50 = 601,294.50/x
  3. Step 3: Cross multiply
    427,517x = 601,294.50 × 601,294.50
  4. Step 4: Simplify right side
    427,517x = 361,555,075,730.25
  5. Step 5: Solve for x
    x = 361,555,075,730.25/427,517
  6. Step 6: Final answer
    x = 845,709.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.