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Finding the Third Proportional to 492,892 and 742,842

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Solution

The third proportional to 492,892 and 742,842 is: 1,119,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,892 : 742,842 = 742,842 : x
  2. Step 2: Convert to fraction form
    492,892/742,842 = 742,842/x
  3. Step 3: Cross multiply
    492,892x = 742,842 × 742,842
  4. Step 4: Simplify right side
    492,892x = 551,814,236,964
  5. Step 5: Solve for x
    x = 551,814,236,964/492,892
  6. Step 6: Final answer
    x = 1,119,543.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.