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Finding the Third Proportional to 255,024 and 549,072

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Solution

The third proportional to 255,024 and 549,072 is: 1,182,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,024 : 549,072 = 549,072 : x
  2. Step 2: Convert to fraction form
    255,024/549,072 = 549,072/x
  3. Step 3: Cross multiply
    255,024x = 549,072 × 549,072
  4. Step 4: Simplify right side
    255,024x = 301,480,061,184
  5. Step 5: Solve for x
    x = 301,480,061,184/255,024
  6. Step 6: Final answer
    x = 1,182,163.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.