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Finding the Third Proportional to 538,852.50 and 808,278.75

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Solution

The third proportional to 538,852.50 and 808,278.75 is: 1,212,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,852.50 : 808,278.75 = 808,278.75 : x
  2. Step 2: Convert to fraction form
    538,852.50/808,278.75 = 808,278.75/x
  3. Step 3: Cross multiply
    538,852.50x = 808,278.75 × 808,278.75
  4. Step 4: Simplify right side
    538,852.50x = 653,314,537,701.56
  5. Step 5: Solve for x
    x = 653,314,537,701.56/538,852.50
  6. Step 6: Final answer
    x = 1,212,418.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.