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Finding the Third Proportional to 591,235.50 and 913,053

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Solution

The third proportional to 591,235.50 and 913,053 is: 1,410,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,235.50 : 913,053 = 913,053 : x
  2. Step 2: Convert to fraction form
    591,235.50/913,053 = 913,053/x
  3. Step 3: Cross multiply
    591,235.50x = 913,053 × 913,053
  4. Step 4: Simplify right side
    591,235.50x = 833,665,780,809
  5. Step 5: Solve for x
    x = 833,665,780,809/591,235.50
  6. Step 6: Final answer
    x = 1,410,040.13

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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.