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Finding the Third Proportional to 362,642 and 775,178

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Solution

The third proportional to 362,642 and 775,178 is: 1,657,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,642 : 775,178 = 775,178 : x
  2. Step 2: Convert to fraction form
    362,642/775,178 = 775,178/x
  3. Step 3: Cross multiply
    362,642x = 775,178 × 775,178
  4. Step 4: Simplify right side
    362,642x = 600,900,931,684
  5. Step 5: Solve for x
    x = 600,900,931,684/362,642
  6. Step 6: Final answer
    x = 1,657,008.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.