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Finding the Third Proportional to 356,481 and 532,918.50

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Solution

The third proportional to 356,481 and 532,918.50 is: 796,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,481 : 532,918.50 = 532,918.50 : x
  2. Step 2: Convert to fraction form
    356,481/532,918.50 = 532,918.50/x
  3. Step 3: Cross multiply
    356,481x = 532,918.50 × 532,918.50
  4. Step 4: Simplify right side
    356,481x = 284,002,127,642.25
  5. Step 5: Solve for x
    x = 284,002,127,642.25/356,481
  6. Step 6: Final answer
    x = 796,682.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.