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Finding the Third Proportional to 362,564 and 785,392

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Solution

The third proportional to 362,564 and 785,392 is: 1,701,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,564 : 785,392 = 785,392 : x
  2. Step 2: Convert to fraction form
    362,564/785,392 = 785,392/x
  3. Step 3: Cross multiply
    362,564x = 785,392 × 785,392
  4. Step 4: Simplify right side
    362,564x = 616,840,593,664
  5. Step 5: Solve for x
    x = 616,840,593,664/362,564
  6. Step 6: Final answer
    x = 1,701,328.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.