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Finding the Third Proportional to 362,742 and 571,937

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Solution

The third proportional to 362,742 and 571,937 is: 901,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,742 : 571,937 = 571,937 : x
  2. Step 2: Convert to fraction form
    362,742/571,937 = 571,937/x
  3. Step 3: Cross multiply
    362,742x = 571,937 × 571,937
  4. Step 4: Simplify right side
    362,742x = 327,111,931,969
  5. Step 5: Solve for x
    x = 327,111,931,969/362,742
  6. Step 6: Final answer
    x = 901,775.73

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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.