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Finding the Third Proportional to 341,892 and 742,752

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Solution

The third proportional to 341,892 and 742,752 is: 1,613,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,892 : 742,752 = 742,752 : x
  2. Step 2: Convert to fraction form
    341,892/742,752 = 742,752/x
  3. Step 3: Cross multiply
    341,892x = 742,752 × 742,752
  4. Step 4: Simplify right side
    341,892x = 551,680,533,504
  5. Step 5: Solve for x
    x = 551,680,533,504/341,892
  6. Step 6: Final answer
    x = 1,613,610.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.