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Finding the Third Proportional to 305,835.75 and 719,572.13

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Solution

The third proportional to 305,835.75 and 719,572.13 is: 1,693,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,835.75 : 719,572.13 = 719,572.13 : x
  2. Step 2: Convert to fraction form
    305,835.75/719,572.13 = 719,572.13/x
  3. Step 3: Cross multiply
    305,835.75x = 719,572.13 × 719,572.13
  4. Step 4: Simplify right side
    305,835.75x = 517,784,043,077.02
  5. Step 5: Solve for x
    x = 517,784,043,077.02/305,835.75
  6. Step 6: Final answer
    x = 1,693,013.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.