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Finding the Third Proportional to 362,786 and 572,002

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Solution

The third proportional to 362,786 and 572,002 is: 901,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,786 : 572,002 = 572,002 : x
  2. Step 2: Convert to fraction form
    362,786/572,002 = 572,002/x
  3. Step 3: Cross multiply
    362,786x = 572,002 × 572,002
  4. Step 4: Simplify right side
    362,786x = 327,186,288,004
  5. Step 5: Solve for x
    x = 327,186,288,004/362,786
  6. Step 6: Final answer
    x = 901,871.32

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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.