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Finding the Third Proportional to 566,319.09 and 857,714.06

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Solution

The third proportional to 566,319.09 and 857,714.06 is: 1,299,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,319.09 : 857,714.06 = 857,714.06 : x
  2. Step 2: Convert to fraction form
    566,319.09/857,714.06 = 857,714.06/x
  3. Step 3: Cross multiply
    566,319.09x = 857,714.06 × 857,714.06
  4. Step 4: Simplify right side
    566,319.09x = 735,673,413,010.25
  5. Step 5: Solve for x
    x = 735,673,413,010.25/566,319.09
  6. Step 6: Final answer
    x = 1,299,043.99

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