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Finding the Third Proportional to 524,203.50 and 785,475

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Solution

The third proportional to 524,203.50 and 785,475 is: 1,176,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,203.50 : 785,475 = 785,475 : x
  2. Step 2: Convert to fraction form
    524,203.50/785,475 = 785,475/x
  3. Step 3: Cross multiply
    524,203.50x = 785,475 × 785,475
  4. Step 4: Simplify right side
    524,203.50x = 616,970,975,625
  5. Step 5: Solve for x
    x = 616,970,975,625/524,203.50
  6. Step 6: Final answer
    x = 1,176,968.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.