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Finding the Third Proportional to 245,574 and 527,025

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Solution

The third proportional to 245,574 and 527,025 is: 1,131,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,574 : 527,025 = 527,025 : x
  2. Step 2: Convert to fraction form
    245,574/527,025 = 527,025/x
  3. Step 3: Cross multiply
    245,574x = 527,025 × 527,025
  4. Step 4: Simplify right side
    245,574x = 277,755,350,625
  5. Step 5: Solve for x
    x = 277,755,350,625/245,574
  6. Step 6: Final answer
    x = 1,131,045.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.