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Finding the Third Proportional to 492,034 and 734,254

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Solution

The third proportional to 492,034 and 734,254 is: 1,095,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,034 : 734,254 = 734,254 : x
  2. Step 2: Convert to fraction form
    492,034/734,254 = 734,254/x
  3. Step 3: Cross multiply
    492,034x = 734,254 × 734,254
  4. Step 4: Simplify right side
    492,034x = 539,128,936,516
  5. Step 5: Solve for x
    x = 539,128,936,516/492,034
  6. Step 6: Final answer
    x = 1,095,714.80

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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.