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Finding the Third Proportional to 362,370 and 768,594

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Solution

The third proportional to 362,370 and 768,594 is: 1,630,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,370 : 768,594 = 768,594 : x
  2. Step 2: Convert to fraction form
    362,370/768,594 = 768,594/x
  3. Step 3: Cross multiply
    362,370x = 768,594 × 768,594
  4. Step 4: Simplify right side
    362,370x = 590,736,736,836
  5. Step 5: Solve for x
    x = 590,736,736,836/362,370
  6. Step 6: Final answer
    x = 1,630,203.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.