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Finding the Third Proportional to 448,969.50 and 655,947

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Solution

The third proportional to 448,969.50 and 655,947 is: 958,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,969.50 : 655,947 = 655,947 : x
  2. Step 2: Convert to fraction form
    448,969.50/655,947 = 655,947/x
  3. Step 3: Cross multiply
    448,969.50x = 655,947 × 655,947
  4. Step 4: Simplify right side
    448,969.50x = 430,266,466,809
  5. Step 5: Solve for x
    x = 430,266,466,809/448,969.50
  6. Step 6: Final answer
    x = 958,342.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.