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Finding the Third Proportional to 542,896 and 713,904

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Solution

The third proportional to 542,896 and 713,904 is: 938,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,896 : 713,904 = 713,904 : x
  2. Step 2: Convert to fraction form
    542,896/713,904 = 713,904/x
  3. Step 3: Cross multiply
    542,896x = 713,904 × 713,904
  4. Step 4: Simplify right side
    542,896x = 509,658,921,216
  5. Step 5: Solve for x
    x = 509,658,921,216/542,896
  6. Step 6: Final answer
    x = 938,778.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.