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Finding the Third Proportional to 305,833.50 and 719,565

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Solution

The third proportional to 305,833.50 and 719,565 is: 1,692,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,833.50 : 719,565 = 719,565 : x
  2. Step 2: Convert to fraction form
    305,833.50/719,565 = 719,565/x
  3. Step 3: Cross multiply
    305,833.50x = 719,565 × 719,565
  4. Step 4: Simplify right side
    305,833.50x = 517,773,789,225
  5. Step 5: Solve for x
    x = 517,773,789,225/305,833.50
  6. Step 6: Final answer
    x = 1,692,992.39

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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.