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Finding the Third Proportional to 535,154.34 and 733,841.02

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Solution

The third proportional to 535,154.34 and 733,841.02 is: 1,006,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,154.34 : 733,841.02 = 733,841.02 : x
  2. Step 2: Convert to fraction form
    535,154.34/733,841.02 = 733,841.02/x
  3. Step 3: Cross multiply
    535,154.34x = 733,841.02 × 733,841.02
  4. Step 4: Simplify right side
    535,154.34x = 538,522,636,213.53
  5. Step 5: Solve for x
    x = 538,522,636,213.53/535,154.34
  6. Step 6: Final answer
    x = 1,006,294.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.