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Finding the Third Proportional to 507,276 and 759,330

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Solution

The third proportional to 507,276 and 759,330 is: 1,136,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,276 : 759,330 = 759,330 : x
  2. Step 2: Convert to fraction form
    507,276/759,330 = 759,330/x
  3. Step 3: Cross multiply
    507,276x = 759,330 × 759,330
  4. Step 4: Simplify right side
    507,276x = 576,582,048,900
  5. Step 5: Solve for x
    x = 576,582,048,900/507,276
  6. Step 6: Final answer
    x = 1,136,623.95

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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.