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Finding the Third Proportional to 365,459.34 and 880,434.56

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Solution

The third proportional to 365,459.34 and 880,434.56 is: 2,121,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,459.34 : 880,434.56 = 880,434.56 : x
  2. Step 2: Convert to fraction form
    365,459.34/880,434.56 = 880,434.56/x
  3. Step 3: Cross multiply
    365,459.34x = 880,434.56 × 880,434.56
  4. Step 4: Simplify right side
    365,459.34x = 775,165,018,844.57
  5. Step 5: Solve for x
    x = 775,165,018,844.57/365,459.34
  6. Step 6: Final answer
    x = 2,121,070.46

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.