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Finding the Third Proportional to 252,723 and 549,732

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Solution

The third proportional to 252,723 and 549,732 is: 1,195,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,723 : 549,732 = 549,732 : x
  2. Step 2: Convert to fraction form
    252,723/549,732 = 549,732/x
  3. Step 3: Cross multiply
    252,723x = 549,732 × 549,732
  4. Step 4: Simplify right side
    252,723x = 302,205,271,824
  5. Step 5: Solve for x
    x = 302,205,271,824/252,723
  6. Step 6: Final answer
    x = 1,195,796.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.