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Finding the Third Proportional to 253,648 and 549,564

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Solution

The third proportional to 253,648 and 549,564 is: 1,190,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,648 : 549,564 = 549,564 : x
  2. Step 2: Convert to fraction form
    253,648/549,564 = 549,564/x
  3. Step 3: Cross multiply
    253,648x = 549,564 × 549,564
  4. Step 4: Simplify right side
    253,648x = 302,020,590,096
  5. Step 5: Solve for x
    x = 302,020,590,096/253,648
  6. Step 6: Final answer
    x = 1,190,707.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.