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Finding the Third Proportional to 507,960 and 759,448

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Solution

The third proportional to 507,960 and 759,448 is: 1,135,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,960 : 759,448 = 759,448 : x
  2. Step 2: Convert to fraction form
    507,960/759,448 = 759,448/x
  3. Step 3: Cross multiply
    507,960x = 759,448 × 759,448
  4. Step 4: Simplify right side
    507,960x = 576,761,264,704
  5. Step 5: Solve for x
    x = 576,761,264,704/507,960
  6. Step 6: Final answer
    x = 1,135,446.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.