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Finding the Third Proportional to 362,740 and 571,934

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Solution

The third proportional to 362,740 and 571,934 is: 901,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,740 : 571,934 = 571,934 : x
  2. Step 2: Convert to fraction form
    362,740/571,934 = 571,934/x
  3. Step 3: Cross multiply
    362,740x = 571,934 × 571,934
  4. Step 4: Simplify right side
    362,740x = 327,108,500,356
  5. Step 5: Solve for x
    x = 327,108,500,356/362,740
  6. Step 6: Final answer
    x = 901,771.24

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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.