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Finding the Third Proportional to 355,124 and 754,312

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Solution

The third proportional to 355,124 and 754,312 is: 1,602,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,124 : 754,312 = 754,312 : x
  2. Step 2: Convert to fraction form
    355,124/754,312 = 754,312/x
  3. Step 3: Cross multiply
    355,124x = 754,312 × 754,312
  4. Step 4: Simplify right side
    355,124x = 568,986,593,344
  5. Step 5: Solve for x
    x = 568,986,593,344/355,124
  6. Step 6: Final answer
    x = 1,602,219.49

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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.