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Finding the Third Proportional to 549,224 and 798,639

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Solution

The third proportional to 549,224 and 798,639 is: 1,161,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,224 : 798,639 = 798,639 : x
  2. Step 2: Convert to fraction form
    549,224/798,639 = 798,639/x
  3. Step 3: Cross multiply
    549,224x = 798,639 × 798,639
  4. Step 4: Simplify right side
    549,224x = 637,824,252,321
  5. Step 5: Solve for x
    x = 637,824,252,321/549,224
  6. Step 6: Final answer
    x = 1,161,318.97

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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.