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Finding the Third Proportional to 362,560 and 785,384

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Solution

The third proportional to 362,560 and 785,384 is: 1,701,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,560 : 785,384 = 785,384 : x
  2. Step 2: Convert to fraction form
    362,560/785,384 = 785,384/x
  3. Step 3: Cross multiply
    362,560x = 785,384 × 785,384
  4. Step 4: Simplify right side
    362,560x = 616,828,027,456
  5. Step 5: Solve for x
    x = 616,828,027,456/362,560
  6. Step 6: Final answer
    x = 1,701,312.96

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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.