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Finding the Third Proportional to 608,144 and 953,984

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Solution

The third proportional to 608,144 and 953,984 is: 1,496,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,144 : 953,984 = 953,984 : x
  2. Step 2: Convert to fraction form
    608,144/953,984 = 953,984/x
  3. Step 3: Cross multiply
    608,144x = 953,984 × 953,984
  4. Step 4: Simplify right side
    608,144x = 910,085,472,256
  5. Step 5: Solve for x
    x = 910,085,472,256/608,144
  6. Step 6: Final answer
    x = 1,496,496.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.