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Finding the Third Proportional to 272,724 and 583,353

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Solution

The third proportional to 272,724 and 583,353 is: 1,247,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,724 : 583,353 = 583,353 : x
  2. Step 2: Convert to fraction form
    272,724/583,353 = 583,353/x
  3. Step 3: Cross multiply
    272,724x = 583,353 × 583,353
  4. Step 4: Simplify right side
    272,724x = 340,300,722,609
  5. Step 5: Solve for x
    x = 340,300,722,609/272,724
  6. Step 6: Final answer
    x = 1,247,784.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.