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Finding the Third Proportional to 294,412.50 and 466,947

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Solution

The third proportional to 294,412.50 and 466,947 is: 740,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,412.50 : 466,947 = 466,947 : x
  2. Step 2: Convert to fraction form
    294,412.50/466,947 = 466,947/x
  3. Step 3: Cross multiply
    294,412.50x = 466,947 × 466,947
  4. Step 4: Simplify right side
    294,412.50x = 218,039,500,809
  5. Step 5: Solve for x
    x = 218,039,500,809/294,412.50
  6. Step 6: Final answer
    x = 740,591.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.