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Finding the Third Proportional to 364,722 and 586,004

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Solution

The third proportional to 364,722 and 586,004 is: 941,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,722 : 586,004 = 586,004 : x
  2. Step 2: Convert to fraction form
    364,722/586,004 = 586,004/x
  3. Step 3: Cross multiply
    364,722x = 586,004 × 586,004
  4. Step 4: Simplify right side
    364,722x = 343,400,688,016
  5. Step 5: Solve for x
    x = 343,400,688,016/364,722
  6. Step 6: Final answer
    x = 941,540.92

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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.