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Finding the Third Proportional to 522,262 and 704,658

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Solution

The third proportional to 522,262 and 704,658 is: 950,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,262 : 704,658 = 704,658 : x
  2. Step 2: Convert to fraction form
    522,262/704,658 = 704,658/x
  3. Step 3: Cross multiply
    522,262x = 704,658 × 704,658
  4. Step 4: Simplify right side
    522,262x = 496,542,896,964
  5. Step 5: Solve for x
    x = 496,542,896,964/522,262
  6. Step 6: Final answer
    x = 950,754.40

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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.