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Finding the Third Proportional to 253,566 and 549,414

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Solution

The third proportional to 253,566 and 549,414 is: 1,190,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,566 : 549,414 = 549,414 : x
  2. Step 2: Convert to fraction form
    253,566/549,414 = 549,414/x
  3. Step 3: Cross multiply
    253,566x = 549,414 × 549,414
  4. Step 4: Simplify right side
    253,566x = 301,855,743,396
  5. Step 5: Solve for x
    x = 301,855,743,396/253,566
  6. Step 6: Final answer
    x = 1,190,442.50

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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.