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Finding the Third Proportional to 364,723.50 and 586,006.25

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Solution

The third proportional to 364,723.50 and 586,006.25 is: 941,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,723.50 : 586,006.25 = 586,006.25 : x
  2. Step 2: Convert to fraction form
    364,723.50/586,006.25 = 586,006.25/x
  3. Step 3: Cross multiply
    364,723.50x = 586,006.25 × 586,006.25
  4. Step 4: Simplify right side
    364,723.50x = 343,403,325,039.06
  5. Step 5: Solve for x
    x = 343,403,325,039.06/364,723.50
  6. Step 6: Final answer
    x = 941,544.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.