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Finding the Third Proportional to 522,264 and 704,661

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Solution

The third proportional to 522,264 and 704,661 is: 950,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,264 : 704,661 = 704,661 : x
  2. Step 2: Convert to fraction form
    522,264/704,661 = 704,661/x
  3. Step 3: Cross multiply
    522,264x = 704,661 × 704,661
  4. Step 4: Simplify right side
    522,264x = 496,547,124,921
  5. Step 5: Solve for x
    x = 496,547,124,921/522,264
  6. Step 6: Final answer
    x = 950,758.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.