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Finding the Third Proportional to 242,738 and 528,083

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Solution

The third proportional to 242,738 and 528,083 is: 1,148,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,738 : 528,083 = 528,083 : x
  2. Step 2: Convert to fraction form
    242,738/528,083 = 528,083/x
  3. Step 3: Cross multiply
    242,738x = 528,083 × 528,083
  4. Step 4: Simplify right side
    242,738x = 278,871,654,889
  5. Step 5: Solve for x
    x = 278,871,654,889/242,738
  6. Step 6: Final answer
    x = 1,148,858.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.