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Finding the Third Proportional to 492,023 and 734,237

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Solution

The third proportional to 492,023 and 734,237 is: 1,095,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,023 : 734,237 = 734,237 : x
  2. Step 2: Convert to fraction form
    492,023/734,237 = 734,237/x
  3. Step 3: Cross multiply
    492,023x = 734,237 × 734,237
  4. Step 4: Simplify right side
    492,023x = 539,103,972,169
  5. Step 5: Solve for x
    x = 539,103,972,169/492,023
  6. Step 6: Final answer
    x = 1,095,688.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.