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Finding the Third Proportional to 524,280 and 790,764

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Solution

The third proportional to 524,280 and 790,764 is: 1,192,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,280 : 790,764 = 790,764 : x
  2. Step 2: Convert to fraction form
    524,280/790,764 = 790,764/x
  3. Step 3: Cross multiply
    524,280x = 790,764 × 790,764
  4. Step 4: Simplify right side
    524,280x = 625,307,703,696
  5. Step 5: Solve for x
    x = 625,307,703,696/524,280
  6. Step 6: Final answer
    x = 1,192,697.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.