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Finding the Third Proportional to 511,707 and 802,678.50

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Solution

The third proportional to 511,707 and 802,678.50 is: 1,259,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,707 : 802,678.50 = 802,678.50 : x
  2. Step 2: Convert to fraction form
    511,707/802,678.50 = 802,678.50/x
  3. Step 3: Cross multiply
    511,707x = 802,678.50 × 802,678.50
  4. Step 4: Simplify right side
    511,707x = 644,292,774,362.25
  5. Step 5: Solve for x
    x = 644,292,774,362.25/511,707
  6. Step 6: Final answer
    x = 1,259,104.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.