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Finding the Third Proportional to 542,949.75 and 713,984.63

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Solution

The third proportional to 542,949.75 and 713,984.63 is: 938,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,949.75 : 713,984.63 = 713,984.63 : x
  2. Step 2: Convert to fraction form
    542,949.75/713,984.63 = 713,984.63/x
  3. Step 3: Cross multiply
    542,949.75x = 713,984.63 × 713,984.63
  4. Step 4: Simplify right side
    542,949.75x = 509,774,044,736.39
  5. Step 5: Solve for x
    x = 509,774,044,736.39/542,949.75
  6. Step 6: Final answer
    x = 938,897.28

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.