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Finding the Third Proportional to 262,438 and 535,948.50

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Solution

The third proportional to 262,438 and 535,948.50 is: 1,094,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,438 : 535,948.50 = 535,948.50 : x
  2. Step 2: Convert to fraction form
    262,438/535,948.50 = 535,948.50/x
  3. Step 3: Cross multiply
    262,438x = 535,948.50 × 535,948.50
  4. Step 4: Simplify right side
    262,438x = 287,240,794,652.25
  5. Step 5: Solve for x
    x = 287,240,794,652.25/262,438
  6. Step 6: Final answer
    x = 1,094,509.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.