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Finding the Third Proportional to 364,716 and 585,996

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Solution

The third proportional to 364,716 and 585,996 is: 941,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,716 : 585,996 = 585,996 : x
  2. Step 2: Convert to fraction form
    364,716/585,996 = 585,996/x
  3. Step 3: Cross multiply
    364,716x = 585,996 × 585,996
  4. Step 4: Simplify right side
    364,716x = 343,391,312,016
  5. Step 5: Solve for x
    x = 343,391,312,016/364,716
  6. Step 6: Final answer
    x = 941,530.70

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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.