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Finding the Third Proportional to 652,836 and 998,573

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Solution

The third proportional to 652,836 and 998,573 is: 1,527,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,836 : 998,573 = 998,573 : x
  2. Step 2: Convert to fraction form
    652,836/998,573 = 998,573/x
  3. Step 3: Cross multiply
    652,836x = 998,573 × 998,573
  4. Step 4: Simplify right side
    652,836x = 997,148,036,329
  5. Step 5: Solve for x
    x = 997,148,036,329/652,836
  6. Step 6: Final answer
    x = 1,527,409.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.