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Finding the Third Proportional to 276,394 and 602,816

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Solution

The third proportional to 276,394 and 602,816 is: 1,314,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,394 : 602,816 = 602,816 : x
  2. Step 2: Convert to fraction form
    276,394/602,816 = 602,816/x
  3. Step 3: Cross multiply
    276,394x = 602,816 × 602,816
  4. Step 4: Simplify right side
    276,394x = 363,387,129,856
  5. Step 5: Solve for x
    x = 363,387,129,856/276,394
  6. Step 6: Final answer
    x = 1,314,743.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.