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Finding the Third Proportional to 537,637.50 and 839,117.25

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Solution

The third proportional to 537,637.50 and 839,117.25 is: 1,309,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,637.50 : 839,117.25 = 839,117.25 : x
  2. Step 2: Convert to fraction form
    537,637.50/839,117.25 = 839,117.25/x
  3. Step 3: Cross multiply
    537,637.50x = 839,117.25 × 839,117.25
  4. Step 4: Simplify right side
    537,637.50x = 704,117,759,247.56
  5. Step 5: Solve for x
    x = 704,117,759,247.56/537,637.50
  6. Step 6: Final answer
    x = 1,309,651.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.