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Finding the Third Proportional to 365,320.13 and 533,840.63

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Solution

The third proportional to 365,320.13 and 533,840.63 is: 780,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,320.13 : 533,840.63 = 533,840.63 : x
  2. Step 2: Convert to fraction form
    365,320.13/533,840.63 = 533,840.63/x
  3. Step 3: Cross multiply
    365,320.13x = 533,840.63 × 533,840.63
  4. Step 4: Simplify right side
    365,320.13x = 284,985,812,900.39
  5. Step 5: Solve for x
    x = 284,985,812,900.39/365,320.13
  6. Step 6: Final answer
    x = 780,098.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.