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Finding the Third Proportional to 513,344 and 793,344

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Solution

The third proportional to 513,344 and 793,344 is: 1,226,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,344 : 793,344 = 793,344 : x
  2. Step 2: Convert to fraction form
    513,344/793,344 = 793,344/x
  3. Step 3: Cross multiply
    513,344x = 793,344 × 793,344
  4. Step 4: Simplify right side
    513,344x = 629,394,702,336
  5. Step 5: Solve for x
    x = 629,394,702,336/513,344
  6. Step 6: Final answer
    x = 1,226,068.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.