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Finding the Third Proportional to 591,248.53 and 913,075.17

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Solution

The third proportional to 591,248.53 and 913,075.17 is: 1,410,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,248.53 : 913,075.17 = 913,075.17 : x
  2. Step 2: Convert to fraction form
    591,248.53/913,075.17 = 913,075.17/x
  3. Step 3: Cross multiply
    591,248.53x = 913,075.17 × 913,075.17
  4. Step 4: Simplify right side
    591,248.53x = 833,706,269,494.56
  5. Step 5: Solve for x
    x = 833,706,269,494.56/591,248.53
  6. Step 6: Final answer
    x = 1,410,077.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.