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Finding the Third Proportional to 272,497.50 and 597,483

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Solution

The third proportional to 272,497.50 and 597,483 is: 1,310,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,497.50 : 597,483 = 597,483 : x
  2. Step 2: Convert to fraction form
    272,497.50/597,483 = 597,483/x
  3. Step 3: Cross multiply
    272,497.50x = 597,483 × 597,483
  4. Step 4: Simplify right side
    272,497.50x = 356,985,935,289
  5. Step 5: Solve for x
    x = 356,985,935,289/272,497.50
  6. Step 6: Final answer
    x = 1,310,052.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.