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Finding the Third Proportional to 507,282 and 759,537

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Solution

The third proportional to 507,282 and 759,537 is: 1,137,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,282 : 759,537 = 759,537 : x
  2. Step 2: Convert to fraction form
    507,282/759,537 = 759,537/x
  3. Step 3: Cross multiply
    507,282x = 759,537 × 759,537
  4. Step 4: Simplify right side
    507,282x = 576,896,454,369
  5. Step 5: Solve for x
    x = 576,896,454,369/507,282
  6. Step 6: Final answer
    x = 1,137,230.29

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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.