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Finding the Third Proportional to 509,391 and 746,037

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Solution

The third proportional to 509,391 and 746,037 is: 1,092,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,391 : 746,037 = 746,037 : x
  2. Step 2: Convert to fraction form
    509,391/746,037 = 746,037/x
  3. Step 3: Cross multiply
    509,391x = 746,037 × 746,037
  4. Step 4: Simplify right side
    509,391x = 556,571,205,369
  5. Step 5: Solve for x
    x = 556,571,205,369/509,391
  6. Step 6: Final answer
    x = 1,092,620.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.