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Finding the Third Proportional to 492,031 and 734,248

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Solution

The third proportional to 492,031 and 734,248 is: 1,095,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,031 : 734,248 = 734,248 : x
  2. Step 2: Convert to fraction form
    492,031/734,248 = 734,248/x
  3. Step 3: Cross multiply
    492,031x = 734,248 × 734,248
  4. Step 4: Simplify right side
    492,031x = 539,120,125,504
  5. Step 5: Solve for x
    x = 539,120,125,504/492,031
  6. Step 6: Final answer
    x = 1,095,703.57

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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.