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Finding the Third Proportional to 252,050 and 549,892

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Solution

The third proportional to 252,050 and 549,892 is: 1,199,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,050 : 549,892 = 549,892 : x
  2. Step 2: Convert to fraction form
    252,050/549,892 = 549,892/x
  3. Step 3: Cross multiply
    252,050x = 549,892 × 549,892
  4. Step 4: Simplify right side
    252,050x = 302,381,211,664
  5. Step 5: Solve for x
    x = 302,381,211,664/252,050
  6. Step 6: Final answer
    x = 1,199,687.41

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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.