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Finding the Third Proportional to 380,898 and 559,557

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Solution

The third proportional to 380,898 and 559,557 is: 822,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,898 : 559,557 = 559,557 : x
  2. Step 2: Convert to fraction form
    380,898/559,557 = 559,557/x
  3. Step 3: Cross multiply
    380,898x = 559,557 × 559,557
  4. Step 4: Simplify right side
    380,898x = 313,104,036,249
  5. Step 5: Solve for x
    x = 313,104,036,249/380,898
  6. Step 6: Final answer
    x = 822,015.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.