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Finding the Third Proportional to 252,719 and 549,724

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Solution

The third proportional to 252,719 and 549,724 is: 1,195,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,719 : 549,724 = 549,724 : x
  2. Step 2: Convert to fraction form
    252,719/549,724 = 549,724/x
  3. Step 3: Cross multiply
    252,719x = 549,724 × 549,724
  4. Step 4: Simplify right side
    252,719x = 302,196,476,176
  5. Step 5: Solve for x
    x = 302,196,476,176/252,719
  6. Step 6: Final answer
    x = 1,195,780.59

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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.