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Finding the Third Proportional to 476,496 and 740,880

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Solution

The third proportional to 476,496 and 740,880 is: 1,151,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,496 : 740,880 = 740,880 : x
  2. Step 2: Convert to fraction form
    476,496/740,880 = 740,880/x
  3. Step 3: Cross multiply
    476,496x = 740,880 × 740,880
  4. Step 4: Simplify right side
    476,496x = 548,903,174,400
  5. Step 5: Solve for x
    x = 548,903,174,400/476,496
  6. Step 6: Final answer
    x = 1,151,957.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.