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Finding the Third Proportional to 584,289 and 897,539

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Solution

The third proportional to 584,289 and 897,539 is: 1,378,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,289 : 897,539 = 897,539 : x
  2. Step 2: Convert to fraction form
    584,289/897,539 = 897,539/x
  3. Step 3: Cross multiply
    584,289x = 897,539 × 897,539
  4. Step 4: Simplify right side
    584,289x = 805,576,256,521
  5. Step 5: Solve for x
    x = 805,576,256,521/584,289
  6. Step 6: Final answer
    x = 1,378,729.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.