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Finding the Third Proportional to 264,967.50 and 574,364.25

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Solution

The third proportional to 264,967.50 and 574,364.25 is: 1,245,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,967.50 : 574,364.25 = 574,364.25 : x
  2. Step 2: Convert to fraction form
    264,967.50/574,364.25 = 574,364.25/x
  3. Step 3: Cross multiply
    264,967.50x = 574,364.25 × 574,364.25
  4. Step 4: Simplify right side
    264,967.50x = 329,894,291,678.06
  5. Step 5: Solve for x
    x = 329,894,291,678.06/264,967.50
  6. Step 6: Final answer
    x = 1,245,036.81

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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.