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Finding the Third Proportional to 252,722 and 549,730

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Solution

The third proportional to 252,722 and 549,730 is: 1,195,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,722 : 549,730 = 549,730 : x
  2. Step 2: Convert to fraction form
    252,722/549,730 = 549,730/x
  3. Step 3: Cross multiply
    252,722x = 549,730 × 549,730
  4. Step 4: Simplify right side
    252,722x = 302,203,072,900
  5. Step 5: Solve for x
    x = 302,203,072,900/252,722
  6. Step 6: Final answer
    x = 1,195,792.50

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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.