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Finding the Third Proportional to 252,678.50 and 549,034

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Solution

The third proportional to 252,678.50 and 549,034 is: 1,192,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,678.50 : 549,034 = 549,034 : x
  2. Step 2: Convert to fraction form
    252,678.50/549,034 = 549,034/x
  3. Step 3: Cross multiply
    252,678.50x = 549,034 × 549,034
  4. Step 4: Simplify right side
    252,678.50x = 301,438,333,156
  5. Step 5: Solve for x
    x = 301,438,333,156/252,678.50
  6. Step 6: Final answer
    x = 1,192,971.83

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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.