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Finding the Third Proportional to 582,544.13 and 787,054.50

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Solution

The third proportional to 582,544.13 and 787,054.50 is: 1,063,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,544.13 : 787,054.50 = 787,054.50 : x
  2. Step 2: Convert to fraction form
    582,544.13/787,054.50 = 787,054.50/x
  3. Step 3: Cross multiply
    582,544.13x = 787,054.50 × 787,054.50
  4. Step 4: Simplify right side
    582,544.13x = 619,454,785,970.25
  5. Step 5: Solve for x
    x = 619,454,785,970.25/582,544.13
  6. Step 6: Final answer
    x = 1,063,361.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.