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Finding the Third Proportional to 507,072 and 759,024

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Solution

The third proportional to 507,072 and 759,024 is: 1,136,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,072 : 759,024 = 759,024 : x
  2. Step 2: Convert to fraction form
    507,072/759,024 = 759,024/x
  3. Step 3: Cross multiply
    507,072x = 759,024 × 759,024
  4. Step 4: Simplify right side
    507,072x = 576,117,432,576
  5. Step 5: Solve for x
    x = 576,117,432,576/507,072
  6. Step 6: Final answer
    x = 1,136,164.95

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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.