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Finding the Third Proportional to 467,815.50 and 704,355

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Solution

The third proportional to 467,815.50 and 704,355 is: 1,060,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,815.50 : 704,355 = 704,355 : x
  2. Step 2: Convert to fraction form
    467,815.50/704,355 = 704,355/x
  3. Step 3: Cross multiply
    467,815.50x = 704,355 × 704,355
  4. Step 4: Simplify right side
    467,815.50x = 496,115,966,025
  5. Step 5: Solve for x
    x = 496,115,966,025/467,815.50
  6. Step 6: Final answer
    x = 1,060,494.93

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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.