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Finding the Third Proportional to 615,240.56 and 962,933.06

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Solution

The third proportional to 615,240.56 and 962,933.06 is: 1,507,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,240.56 : 962,933.06 = 962,933.06 : x
  2. Step 2: Convert to fraction form
    615,240.56/962,933.06 = 962,933.06/x
  3. Step 3: Cross multiply
    615,240.56x = 962,933.06 × 962,933.06
  4. Step 4: Simplify right side
    615,240.56x = 927,240,082,855.63
  5. Step 5: Solve for x
    x = 927,240,082,855.63/615,240.56
  6. Step 6: Final answer
    x = 1,507,117.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.