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Finding the Third Proportional to 542,886 and 798,543

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Solution

The third proportional to 542,886 and 798,543 is: 1,174,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,886 : 798,543 = 798,543 : x
  2. Step 2: Convert to fraction form
    542,886/798,543 = 798,543/x
  3. Step 3: Cross multiply
    542,886x = 798,543 × 798,543
  4. Step 4: Simplify right side
    542,886x = 637,670,922,849
  5. Step 5: Solve for x
    x = 637,670,922,849/542,886
  6. Step 6: Final answer
    x = 1,174,594.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.