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Finding the Third Proportional to 498,727.13 and 1,032,927.19

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Solution

The third proportional to 498,727.13 and 1,032,927.19 is: 2,139,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,727.13 : 1,032,927.19 = 1,032,927.19 : x
  2. Step 2: Convert to fraction form
    498,727.13/1,032,927.19 = 1,032,927.19/x
  3. Step 3: Cross multiply
    498,727.13x = 1,032,927.19 × 1,032,927.19
  4. Step 4: Simplify right side
    498,727.13x = 1,066,938,574,676.66
  5. Step 5: Solve for x
    x = 1,066,938,574,676.66/498,727.13
  6. Step 6: Final answer
    x = 2,139,323.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.