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Finding the Third Proportional to 276,442 and 602,906

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Solution

The third proportional to 276,442 and 602,906 is: 1,314,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,442 : 602,906 = 602,906 : x
  2. Step 2: Convert to fraction form
    276,442/602,906 = 602,906/x
  3. Step 3: Cross multiply
    276,442x = 602,906 × 602,906
  4. Step 4: Simplify right side
    276,442x = 363,495,644,836
  5. Step 5: Solve for x
    x = 363,495,644,836/276,442
  6. Step 6: Final answer
    x = 1,314,907.45

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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.