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Finding the Third Proportional to 362,356 and 771,489

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Solution

The third proportional to 362,356 and 771,489 is: 1,642,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,356 : 771,489 = 771,489 : x
  2. Step 2: Convert to fraction form
    362,356/771,489 = 771,489/x
  3. Step 3: Cross multiply
    362,356x = 771,489 × 771,489
  4. Step 4: Simplify right side
    362,356x = 595,195,277,121
  5. Step 5: Solve for x
    x = 595,195,277,121/362,356
  6. Step 6: Final answer
    x = 1,642,570.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.