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Finding the Third Proportional to 238,556.71 and 514,477.51

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Solution

The third proportional to 238,556.71 and 514,477.51 is: 1,109,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,556.71 : 514,477.51 = 514,477.51 : x
  2. Step 2: Convert to fraction form
    238,556.71/514,477.51 = 514,477.51/x
  3. Step 3: Cross multiply
    238,556.71x = 514,477.51 × 514,477.51
  4. Step 4: Simplify right side
    238,556.71x = 264,687,110,064.32
  5. Step 5: Solve for x
    x = 264,687,110,064.32/238,556.71
  6. Step 6: Final answer
    x = 1,109,535.39

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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.