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Finding the Third Proportional to 242,768 and 529,780

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Solution

The third proportional to 242,768 and 529,780 is: 1,156,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,768 : 529,780 = 529,780 : x
  2. Step 2: Convert to fraction form
    242,768/529,780 = 529,780/x
  3. Step 3: Cross multiply
    242,768x = 529,780 × 529,780
  4. Step 4: Simplify right side
    242,768x = 280,666,848,400
  5. Step 5: Solve for x
    x = 280,666,848,400/242,768
  6. Step 6: Final answer
    x = 1,156,111.38

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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.