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Finding the Third Proportional to 328,112 and 514,024

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Solution

The third proportional to 328,112 and 514,024 is: 805,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,112 : 514,024 = 514,024 : x
  2. Step 2: Convert to fraction form
    328,112/514,024 = 514,024/x
  3. Step 3: Cross multiply
    328,112x = 514,024 × 514,024
  4. Step 4: Simplify right side
    328,112x = 264,220,672,576
  5. Step 5: Solve for x
    x = 264,220,672,576/328,112
  6. Step 6: Final answer
    x = 805,275.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.