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Finding the Third Proportional to 253,224 and 549,584

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Solution

The third proportional to 253,224 and 549,584 is: 1,192,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,224 : 549,584 = 549,584 : x
  2. Step 2: Convert to fraction form
    253,224/549,584 = 549,584/x
  3. Step 3: Cross multiply
    253,224x = 549,584 × 549,584
  4. Step 4: Simplify right side
    253,224x = 302,042,573,056
  5. Step 5: Solve for x
    x = 302,042,573,056/253,224
  6. Step 6: Final answer
    x = 1,192,788.10

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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.