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Finding the Third Proportional to 357,314 and 756,100

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Solution

The third proportional to 357,314 and 756,100 is: 1,599,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,314 : 756,100 = 756,100 : x
  2. Step 2: Convert to fraction form
    357,314/756,100 = 756,100/x
  3. Step 3: Cross multiply
    357,314x = 756,100 × 756,100
  4. Step 4: Simplify right side
    357,314x = 571,687,210,000
  5. Step 5: Solve for x
    x = 571,687,210,000/357,314
  6. Step 6: Final answer
    x = 1,599,957.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.