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Finding the Third Proportional to 357,396 and 733,818

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Solution

The third proportional to 357,396 and 733,818 is: 1,506,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,396 : 733,818 = 733,818 : x
  2. Step 2: Convert to fraction form
    357,396/733,818 = 733,818/x
  3. Step 3: Cross multiply
    357,396x = 733,818 × 733,818
  4. Step 4: Simplify right side
    357,396x = 538,488,857,124
  5. Step 5: Solve for x
    x = 538,488,857,124/357,396
  6. Step 6: Final answer
    x = 1,506,700.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.