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Finding the Third Proportional to 337,214.50 and 705,607

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Solution

The third proportional to 337,214.50 and 705,607 is: 1,476,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,214.50 : 705,607 = 705,607 : x
  2. Step 2: Convert to fraction form
    337,214.50/705,607 = 705,607/x
  3. Step 3: Cross multiply
    337,214.50x = 705,607 × 705,607
  4. Step 4: Simplify right side
    337,214.50x = 497,881,238,449
  5. Step 5: Solve for x
    x = 497,881,238,449/337,214.50
  6. Step 6: Final answer
    x = 1,476,452.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.