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Finding the Third Proportional to 245,718 and 535,904

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Solution

The third proportional to 245,718 and 535,904 is: 1,168,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,718 : 535,904 = 535,904 : x
  2. Step 2: Convert to fraction form
    245,718/535,904 = 535,904/x
  3. Step 3: Cross multiply
    245,718x = 535,904 × 535,904
  4. Step 4: Simplify right side
    245,718x = 287,193,097,216
  5. Step 5: Solve for x
    x = 287,193,097,216/245,718
  6. Step 6: Final answer
    x = 1,168,791.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.