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Finding the Third Proportional to 248,248 and 535,852

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Solution

The third proportional to 248,248 and 535,852 is: 1,156,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,248 : 535,852 = 535,852 : x
  2. Step 2: Convert to fraction form
    248,248/535,852 = 535,852/x
  3. Step 3: Cross multiply
    248,248x = 535,852 × 535,852
  4. Step 4: Simplify right side
    248,248x = 287,137,365,904
  5. Step 5: Solve for x
    x = 287,137,365,904/248,248
  6. Step 6: Final answer
    x = 1,156,655.30

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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.