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Finding the Third Proportional to 256,555.50 and 593,862

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Solution

The third proportional to 256,555.50 and 593,862 is: 1,374,642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,555.50 : 593,862 = 593,862 : x
  2. Step 2: Convert to fraction form
    256,555.50/593,862 = 593,862/x
  3. Step 3: Cross multiply
    256,555.50x = 593,862 × 593,862
  4. Step 4: Simplify right side
    256,555.50x = 352,672,075,044
  5. Step 5: Solve for x
    x = 352,672,075,044/256,555.50
  6. Step 6: Final answer
    x = 1,374,642.43

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.