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Finding the Third Proportional to 243,000 and 529,614

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Solution

The third proportional to 243,000 and 529,614 is: 1,154,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,000 : 529,614 = 529,614 : x
  2. Step 2: Convert to fraction form
    243,000/529,614 = 529,614/x
  3. Step 3: Cross multiply
    243,000x = 529,614 × 529,614
  4. Step 4: Simplify right side
    243,000x = 280,490,988,996
  5. Step 5: Solve for x
    x = 280,490,988,996/243,000
  6. Step 6: Final answer
    x = 1,154,283.91

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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.