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Finding the Third Proportional to 334,150 and 705,559

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Solution

The third proportional to 334,150 and 705,559 is: 1,489,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,150 : 705,559 = 705,559 : x
  2. Step 2: Convert to fraction form
    334,150/705,559 = 705,559/x
  3. Step 3: Cross multiply
    334,150x = 705,559 × 705,559
  4. Step 4: Simplify right side
    334,150x = 497,813,502,481
  5. Step 5: Solve for x
    x = 497,813,502,481/334,150
  6. Step 6: Final answer
    x = 1,489,790.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.