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Finding the Third Proportional to 590,157 and 1,385,716.50

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Solution

The third proportional to 590,157 and 1,385,716.50 is: 3,253,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,157 : 1,385,716.50 = 1,385,716.50 : x
  2. Step 2: Convert to fraction form
    590,157/1,385,716.50 = 1,385,716.50/x
  3. Step 3: Cross multiply
    590,157x = 1,385,716.50 × 1,385,716.50
  4. Step 4: Simplify right side
    590,157x = 1,920,210,218,372.25
  5. Step 5: Solve for x
    x = 1,920,210,218,372.25/590,157
  6. Step 6: Final answer
    x = 3,253,727.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.