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Finding the Third Proportional to 507,816.84 and 743,035.78

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Solution

The third proportional to 507,816.84 and 743,035.78 is: 1,087,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,816.84 : 743,035.78 = 743,035.78 : x
  2. Step 2: Convert to fraction form
    507,816.84/743,035.78 = 743,035.78/x
  3. Step 3: Cross multiply
    507,816.84x = 743,035.78 × 743,035.78
  4. Step 4: Simplify right side
    507,816.84x = 552,102,172,217.80
  5. Step 5: Solve for x
    x = 552,102,172,217.80/507,816.84
  6. Step 6: Final answer
    x = 1,087,207.29

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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.