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Finding the Third Proportional to 325,714.50 and 511,623

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Solution

The third proportional to 325,714.50 and 511,623 is: 803,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,714.50 : 511,623 = 511,623 : x
  2. Step 2: Convert to fraction form
    325,714.50/511,623 = 511,623/x
  3. Step 3: Cross multiply
    325,714.50x = 511,623 × 511,623
  4. Step 4: Simplify right side
    325,714.50x = 261,758,094,129
  5. Step 5: Solve for x
    x = 261,758,094,129/325,714.50
  6. Step 6: Final answer
    x = 803,642.74

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Why These Related Problems?

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