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Finding the Third Proportional to 341,264 and 734,854

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Solution

The third proportional to 341,264 and 734,854 is: 1,582,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,264 : 734,854 = 734,854 : x
  2. Step 2: Convert to fraction form
    341,264/734,854 = 734,854/x
  3. Step 3: Cross multiply
    341,264x = 734,854 × 734,854
  4. Step 4: Simplify right side
    341,264x = 540,010,401,316
  5. Step 5: Solve for x
    x = 540,010,401,316/341,264
  6. Step 6: Final answer
    x = 1,582,383.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.