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Finding the Third Proportional to 582,403 and 913,786.50

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Solution

The third proportional to 582,403 and 913,786.50 is: 1,433,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,403 : 913,786.50 = 913,786.50 : x
  2. Step 2: Convert to fraction form
    582,403/913,786.50 = 913,786.50/x
  3. Step 3: Cross multiply
    582,403x = 913,786.50 × 913,786.50
  4. Step 4: Simplify right side
    582,403x = 835,005,767,582.25
  5. Step 5: Solve for x
    x = 835,005,767,582.25/582,403
  6. Step 6: Final answer
    x = 1,433,725.05

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