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Finding the Third Proportional to 265,460.44 and 573,182.63

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Solution

The third proportional to 265,460.44 and 573,182.63 is: 1,237,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,460.44 : 573,182.63 = 573,182.63 : x
  2. Step 2: Convert to fraction form
    265,460.44/573,182.63 = 573,182.63/x
  3. Step 3: Cross multiply
    265,460.44x = 573,182.63 × 573,182.63
  4. Step 4: Simplify right side
    265,460.44x = 328,538,321,601.89
  5. Step 5: Solve for x
    x = 328,538,321,601.89/265,460.44
  6. Step 6: Final answer
    x = 1,237,616.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.