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Finding the Third Proportional to 339,774.75 and 714,511.13

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Solution

The third proportional to 339,774.75 and 714,511.13 is: 1,502,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,774.75 : 714,511.13 = 714,511.13 : x
  2. Step 2: Convert to fraction form
    339,774.75/714,511.13 = 714,511.13/x
  3. Step 3: Cross multiply
    339,774.75x = 714,511.13 × 714,511.13
  4. Step 4: Simplify right side
    339,774.75x = 510,526,147,748.77
  5. Step 5: Solve for x
    x = 510,526,147,748.77/339,774.75
  6. Step 6: Final answer
    x = 1,502,542.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.