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Finding the Third Proportional to 549,222 and 798,636

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Solution

The third proportional to 549,222 and 798,636 is: 1,161,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,222 : 798,636 = 798,636 : x
  2. Step 2: Convert to fraction form
    549,222/798,636 = 798,636/x
  3. Step 3: Cross multiply
    549,222x = 798,636 × 798,636
  4. Step 4: Simplify right side
    549,222x = 637,819,460,496
  5. Step 5: Solve for x
    x = 637,819,460,496/549,222
  6. Step 6: Final answer
    x = 1,161,314.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.