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Finding the Third Proportional to 272,094.50 and 635,384.50

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Solution

The third proportional to 272,094.50 and 635,384.50 is: 1,483,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,094.50 : 635,384.50 = 635,384.50 : x
  2. Step 2: Convert to fraction form
    272,094.50/635,384.50 = 635,384.50/x
  3. Step 3: Cross multiply
    272,094.50x = 635,384.50 × 635,384.50
  4. Step 4: Simplify right side
    272,094.50x = 403,713,462,840.25
  5. Step 5: Solve for x
    x = 403,713,462,840.25/272,094.50
  6. Step 6: Final answer
    x = 1,483,725.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.