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Finding the Third Proportional to 239,042.81 and 514,971

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Solution

The third proportional to 239,042.81 and 514,971 is: 1,109,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,042.81 : 514,971 = 514,971 : x
  2. Step 2: Convert to fraction form
    239,042.81/514,971 = 514,971/x
  3. Step 3: Cross multiply
    239,042.81x = 514,971 × 514,971
  4. Step 4: Simplify right side
    239,042.81x = 265,195,130,841
  5. Step 5: Solve for x
    x = 265,195,130,841/239,042.81
  6. Step 6: Final answer
    x = 1,109,404.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.