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Finding the Third Proportional to 355,586 and 532,835

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Solution

The third proportional to 355,586 and 532,835 is: 798,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,586 : 532,835 = 532,835 : x
  2. Step 2: Convert to fraction form
    355,586/532,835 = 532,835/x
  3. Step 3: Cross multiply
    355,586x = 532,835 × 532,835
  4. Step 4: Simplify right side
    355,586x = 283,913,137,225
  5. Step 5: Solve for x
    x = 283,913,137,225/355,586
  6. Step 6: Final answer
    x = 798,437.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.