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Finding the Third Proportional to 403,834.50 and 849,525

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Solution

The third proportional to 403,834.50 and 849,525 is: 1,787,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,834.50 : 849,525 = 849,525 : x
  2. Step 2: Convert to fraction form
    403,834.50/849,525 = 849,525/x
  3. Step 3: Cross multiply
    403,834.50x = 849,525 × 849,525
  4. Step 4: Simplify right side
    403,834.50x = 721,692,725,625
  5. Step 5: Solve for x
    x = 721,692,725,625/403,834.50
  6. Step 6: Final answer
    x = 1,787,100.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.