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Finding the Third Proportional to 305,834.50 and 719,567.50

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Solution

The third proportional to 305,834.50 and 719,567.50 is: 1,692,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,834.50 : 719,567.50 = 719,567.50 : x
  2. Step 2: Convert to fraction form
    305,834.50/719,567.50 = 719,567.50/x
  3. Step 3: Cross multiply
    305,834.50x = 719,567.50 × 719,567.50
  4. Step 4: Simplify right side
    305,834.50x = 517,777,387,056.25
  5. Step 5: Solve for x
    x = 517,777,387,056.25/305,834.50
  6. Step 6: Final answer
    x = 1,692,998.62

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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.