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Finding the Third Proportional to 469,892 and 756,598

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Solution

The third proportional to 469,892 and 756,598 is: 1,218,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,892 : 756,598 = 756,598 : x
  2. Step 2: Convert to fraction form
    469,892/756,598 = 756,598/x
  3. Step 3: Cross multiply
    469,892x = 756,598 × 756,598
  4. Step 4: Simplify right side
    469,892x = 572,440,533,604
  5. Step 5: Solve for x
    x = 572,440,533,604/469,892
  6. Step 6: Final answer
    x = 1,218,238.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.