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Finding the Third Proportional to 242,739 and 528,085

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Solution

The third proportional to 242,739 and 528,085 is: 1,148,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,739 : 528,085 = 528,085 : x
  2. Step 2: Convert to fraction form
    242,739/528,085 = 528,085/x
  3. Step 3: Cross multiply
    242,739x = 528,085 × 528,085
  4. Step 4: Simplify right side
    242,739x = 278,873,767,225
  5. Step 5: Solve for x
    x = 278,873,767,225/242,739
  6. Step 6: Final answer
    x = 1,148,862.64

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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.