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Finding the Third Proportional to 452,362.75 and 689,156.92

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Solution

The third proportional to 452,362.75 and 689,156.92 is: 1,049,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,362.75 : 689,156.92 = 689,156.92 : x
  2. Step 2: Convert to fraction form
    452,362.75/689,156.92 = 689,156.92/x
  3. Step 3: Cross multiply
    452,362.75x = 689,156.92 × 689,156.92
  4. Step 4: Simplify right side
    452,362.75x = 474,937,262,968.23
  5. Step 5: Solve for x
    x = 474,937,262,968.23/452,362.75
  6. Step 6: Final answer
    x = 1,049,903.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.