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Finding the Third Proportional to 623,947.50 and 947,585.25

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Solution

The third proportional to 623,947.50 and 947,585.25 is: 1,439,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,947.50 : 947,585.25 = 947,585.25 : x
  2. Step 2: Convert to fraction form
    623,947.50/947,585.25 = 947,585.25/x
  3. Step 3: Cross multiply
    623,947.50x = 947,585.25 × 947,585.25
  4. Step 4: Simplify right side
    623,947.50x = 897,917,806,017.56
  5. Step 5: Solve for x
    x = 897,917,806,017.56/623,947.50
  6. Step 6: Final answer
    x = 1,439,091.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.