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Finding the Third Proportional to 583,053.19 and 899,489.81

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Solution

The third proportional to 583,053.19 and 899,489.81 is: 1,387,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,053.19 : 899,489.81 = 899,489.81 : x
  2. Step 2: Convert to fraction form
    583,053.19/899,489.81 = 899,489.81/x
  3. Step 3: Cross multiply
    583,053.19x = 899,489.81 × 899,489.81
  4. Step 4: Simplify right side
    583,053.19x = 809,081,922,791.29
  5. Step 5: Solve for x
    x = 809,081,922,791.29/583,053.19
  6. Step 6: Final answer
    x = 1,387,664.01

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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.