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Finding the Third Proportional to 905,688 and 1,332,283.50

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Solution

The third proportional to 905,688 and 1,332,283.50 is: 1,959,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,688 : 1,332,283.50 = 1,332,283.50 : x
  2. Step 2: Convert to fraction form
    905,688/1,332,283.50 = 1,332,283.50/x
  3. Step 3: Cross multiply
    905,688x = 1,332,283.50 × 1,332,283.50
  4. Step 4: Simplify right side
    905,688x = 1,774,979,324,372.25
  5. Step 5: Solve for x
    x = 1,774,979,324,372.25/905,688
  6. Step 6: Final answer
    x = 1,959,813.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.