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Finding the Third Proportional to 513,837 and 730,377

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Solution

The third proportional to 513,837 and 730,377 is: 1,038,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,837 : 730,377 = 730,377 : x
  2. Step 2: Convert to fraction form
    513,837/730,377 = 730,377/x
  3. Step 3: Cross multiply
    513,837x = 730,377 × 730,377
  4. Step 4: Simplify right side
    513,837x = 533,450,562,129
  5. Step 5: Solve for x
    x = 533,450,562,129/513,837
  6. Step 6: Final answer
    x = 1,038,170.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.