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Finding the Third Proportional to 319,507.50 and 688,837.75

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Solution

The third proportional to 319,507.50 and 688,837.75 is: 1,485,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,507.50 : 688,837.75 = 688,837.75 : x
  2. Step 2: Convert to fraction form
    319,507.50/688,837.75 = 688,837.75/x
  3. Step 3: Cross multiply
    319,507.50x = 688,837.75 × 688,837.75
  4. Step 4: Simplify right side
    319,507.50x = 474,497,445,825.06
  5. Step 5: Solve for x
    x = 474,497,445,825.06/319,507.50
  6. Step 6: Final answer
    x = 1,485,090.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.