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Finding the Third Proportional to 507,286 and 759,344

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Solution

The third proportional to 507,286 and 759,344 is: 1,136,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,286 : 759,344 = 759,344 : x
  2. Step 2: Convert to fraction form
    507,286/759,344 = 759,344/x
  3. Step 3: Cross multiply
    507,286x = 759,344 × 759,344
  4. Step 4: Simplify right side
    507,286x = 576,603,310,336
  5. Step 5: Solve for x
    x = 576,603,310,336/507,286
  6. Step 6: Final answer
    x = 1,136,643.45

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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.