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Finding the Third Proportional to 362,605 and 785,475

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Solution

The third proportional to 362,605 and 785,475 is: 1,701,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,605 : 785,475 = 785,475 : x
  2. Step 2: Convert to fraction form
    362,605/785,475 = 785,475/x
  3. Step 3: Cross multiply
    362,605x = 785,475 × 785,475
  4. Step 4: Simplify right side
    362,605x = 616,970,975,625
  5. Step 5: Solve for x
    x = 616,970,975,625/362,605
  6. Step 6: Final answer
    x = 1,701,496.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.