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Finding the Third Proportional to 498,782.81 and 1,033,038.56

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Solution

The third proportional to 498,782.81 and 1,033,038.56 is: 2,139,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,782.81 : 1,033,038.56 = 1,033,038.56 : x
  2. Step 2: Convert to fraction form
    498,782.81/1,033,038.56 = 1,033,038.56/x
  3. Step 3: Cross multiply
    498,782.81x = 1,033,038.56 × 1,033,038.56
  4. Step 4: Simplify right side
    498,782.81x = 1,067,168,671,612.07
  5. Step 5: Solve for x
    x = 1,067,168,671,612.07/498,782.81
  6. Step 6: Final answer
    x = 2,139,545.80

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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.