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Finding the Third Proportional to 508,056 and 746,880

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Solution

The third proportional to 508,056 and 746,880 is: 1,097,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,056 : 746,880 = 746,880 : x
  2. Step 2: Convert to fraction form
    508,056/746,880 = 746,880/x
  3. Step 3: Cross multiply
    508,056x = 746,880 × 746,880
  4. Step 4: Simplify right side
    508,056x = 557,829,734,400
  5. Step 5: Solve for x
    x = 557,829,734,400/508,056
  6. Step 6: Final answer
    x = 1,097,968.99

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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.