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Finding the Third Proportional to 264,947.63 and 573,878.25

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Solution

The third proportional to 264,947.63 and 573,878.25 is: 1,243,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,947.63 : 573,878.25 = 573,878.25 : x
  2. Step 2: Convert to fraction form
    264,947.63/573,878.25 = 573,878.25/x
  3. Step 3: Cross multiply
    264,947.63x = 573,878.25 × 573,878.25
  4. Step 4: Simplify right side
    264,947.63x = 329,336,245,823.06
  5. Step 5: Solve for x
    x = 329,336,245,823.06/264,947.63
  6. Step 6: Final answer
    x = 1,243,023.96

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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.