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Finding the Third Proportional to 362,358 and 768,564

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Solution

The third proportional to 362,358 and 768,564 is: 1,630,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,358 : 768,564 = 768,564 : x
  2. Step 2: Convert to fraction form
    362,358/768,564 = 768,564/x
  3. Step 3: Cross multiply
    362,358x = 768,564 × 768,564
  4. Step 4: Simplify right side
    362,358x = 590,690,622,096
  5. Step 5: Solve for x
    x = 590,690,622,096/362,358
  6. Step 6: Final answer
    x = 1,630,129.93

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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.