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Finding the Third Proportional to 617,017.50 and 937,431

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Solution

The third proportional to 617,017.50 and 937,431 is: 1,424,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,017.50 : 937,431 = 937,431 : x
  2. Step 2: Convert to fraction form
    617,017.50/937,431 = 937,431/x
  3. Step 3: Cross multiply
    617,017.50x = 937,431 × 937,431
  4. Step 4: Simplify right side
    617,017.50x = 878,776,879,761
  5. Step 5: Solve for x
    x = 878,776,879,761/617,017.50
  6. Step 6: Final answer
    x = 1,424,233.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.