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Finding the Third Proportional to 364,726 and 586,009

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Solution

The third proportional to 364,726 and 586,009 is: 941,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,726 : 586,009 = 586,009 : x
  2. Step 2: Convert to fraction form
    364,726/586,009 = 586,009/x
  3. Step 3: Cross multiply
    364,726x = 586,009 × 586,009
  4. Step 4: Simplify right side
    364,726x = 343,406,548,081
  5. Step 5: Solve for x
    x = 343,406,548,081/364,726
  6. Step 6: Final answer
    x = 941,546.66

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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.