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Finding the Third Proportional to 292,285.69 and 628,084.13

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Solution

The third proportional to 292,285.69 and 628,084.13 is: 1,349,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,285.69 : 628,084.13 = 628,084.13 : x
  2. Step 2: Convert to fraction form
    292,285.69/628,084.13 = 628,084.13/x
  3. Step 3: Cross multiply
    292,285.69x = 628,084.13 × 628,084.13
  4. Step 4: Simplify right side
    292,285.69x = 394,489,668,077.02
  5. Step 5: Solve for x
    x = 394,489,668,077.02/292,285.69
  6. Step 6: Final answer
    x = 1,349,671.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.