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Finding the Third Proportional to 242,946.84 and 567,556.03

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Solution

The third proportional to 242,946.84 and 567,556.03 is: 1,325,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,946.84 : 567,556.03 = 567,556.03 : x
  2. Step 2: Convert to fraction form
    242,946.84/567,556.03 = 567,556.03/x
  3. Step 3: Cross multiply
    242,946.84x = 567,556.03 × 567,556.03
  4. Step 4: Simplify right side
    242,946.84x = 322,119,848,608.25
  5. Step 5: Solve for x
    x = 322,119,848,608.25/242,946.84
  6. Step 6: Final answer
    x = 1,325,886.12

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