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Finding the Third Proportional to 252,685 and 549,914

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Solution

The third proportional to 252,685 and 549,914 is: 1,196,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,685 : 549,914 = 549,914 : x
  2. Step 2: Convert to fraction form
    252,685/549,914 = 549,914/x
  3. Step 3: Cross multiply
    252,685x = 549,914 × 549,914
  4. Step 4: Simplify right side
    252,685x = 302,405,407,396
  5. Step 5: Solve for x
    x = 302,405,407,396/252,685
  6. Step 6: Final answer
    x = 1,196,768.34

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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.