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Finding the Third Proportional to 448,096 and 709,880

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Solution

The third proportional to 448,096 and 709,880 is: 1,124,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,096 : 709,880 = 709,880 : x
  2. Step 2: Convert to fraction form
    448,096/709,880 = 709,880/x
  3. Step 3: Cross multiply
    448,096x = 709,880 × 709,880
  4. Step 4: Simplify right side
    448,096x = 503,929,614,400
  5. Step 5: Solve for x
    x = 503,929,614,400/448,096
  6. Step 6: Final answer
    x = 1,124,601.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.