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Finding the Third Proportional to 506,892 and 708,669

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Solution

The third proportional to 506,892 and 708,669 is: 990,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,892 : 708,669 = 708,669 : x
  2. Step 2: Convert to fraction form
    506,892/708,669 = 708,669/x
  3. Step 3: Cross multiply
    506,892x = 708,669 × 708,669
  4. Step 4: Simplify right side
    506,892x = 502,211,751,561
  5. Step 5: Solve for x
    x = 502,211,751,561/506,892
  6. Step 6: Final answer
    x = 990,766.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.