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Finding the Third Proportional to 252,712 and 549,711

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Solution

The third proportional to 252,712 and 549,711 is: 1,195,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,712 : 549,711 = 549,711 : x
  2. Step 2: Convert to fraction form
    252,712/549,711 = 549,711/x
  3. Step 3: Cross multiply
    252,712x = 549,711 × 549,711
  4. Step 4: Simplify right side
    252,712x = 302,182,183,521
  5. Step 5: Solve for x
    x = 302,182,183,521/252,712
  6. Step 6: Final answer
    x = 1,195,757.16

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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.