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Finding the Third Proportional to 345,972 and 736,584

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Solution

The third proportional to 345,972 and 736,584 is: 1,568,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,972 : 736,584 = 736,584 : x
  2. Step 2: Convert to fraction form
    345,972/736,584 = 736,584/x
  3. Step 3: Cross multiply
    345,972x = 736,584 × 736,584
  4. Step 4: Simplify right side
    345,972x = 542,555,989,056
  5. Step 5: Solve for x
    x = 542,555,989,056/345,972
  6. Step 6: Final answer
    x = 1,568,207.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.