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Finding the Third Proportional to 270,597 and 584,097

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Solution

The third proportional to 270,597 and 584,097 is: 1,260,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,597 : 584,097 = 584,097 : x
  2. Step 2: Convert to fraction form
    270,597/584,097 = 584,097/x
  3. Step 3: Cross multiply
    270,597x = 584,097 × 584,097
  4. Step 4: Simplify right side
    270,597x = 341,169,305,409
  5. Step 5: Solve for x
    x = 341,169,305,409/270,597
  6. Step 6: Final answer
    x = 1,260,802.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.