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Finding the Third Proportional to 339,135 and 736,590

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Solution

The third proportional to 339,135 and 736,590 is: 1,599,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,135 : 736,590 = 736,590 : x
  2. Step 2: Convert to fraction form
    339,135/736,590 = 736,590/x
  3. Step 3: Cross multiply
    339,135x = 736,590 × 736,590
  4. Step 4: Simplify right side
    339,135x = 542,564,828,100
  5. Step 5: Solve for x
    x = 542,564,828,100/339,135
  6. Step 6: Final answer
    x = 1,599,849.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.