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Finding the Third Proportional to 210,797.25 and 497,599.13

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Solution

The third proportional to 210,797.25 and 497,599.13 is: 1,174,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,797.25 : 497,599.13 = 497,599.13 : x
  2. Step 2: Convert to fraction form
    210,797.25/497,599.13 = 497,599.13/x
  3. Step 3: Cross multiply
    210,797.25x = 497,599.13 × 497,599.13
  4. Step 4: Simplify right side
    210,797.25x = 247,604,889,200.77
  5. Step 5: Solve for x
    x = 247,604,889,200.77/210,797.25
  6. Step 6: Final answer
    x = 1,174,611.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.