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Finding the Third Proportional to 507,809.25 and 771,687

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Solution

The third proportional to 507,809.25 and 771,687 is: 1,172,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,809.25 : 771,687 = 771,687 : x
  2. Step 2: Convert to fraction form
    507,809.25/771,687 = 771,687/x
  3. Step 3: Cross multiply
    507,809.25x = 771,687 × 771,687
  4. Step 4: Simplify right side
    507,809.25x = 595,500,825,969
  5. Step 5: Solve for x
    x = 595,500,825,969/507,809.25
  6. Step 6: Final answer
    x = 1,172,686.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.