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Finding the Third Proportional to 201,024 and 546,840

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Solution

The third proportional to 201,024 and 546,840 is: 1,487,553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,024 : 546,840 = 546,840 : x
  2. Step 2: Convert to fraction form
    201,024/546,840 = 546,840/x
  3. Step 3: Cross multiply
    201,024x = 546,840 × 546,840
  4. Step 4: Simplify right side
    201,024x = 299,033,985,600
  5. Step 5: Solve for x
    x = 299,033,985,600/201,024
  6. Step 6: Final answer
    x = 1,487,553.65

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.