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Finding the Third Proportional to 272,650 and 583,207

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Solution

The third proportional to 272,650 and 583,207 is: 1,247,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,650 : 583,207 = 583,207 : x
  2. Step 2: Convert to fraction form
    272,650/583,207 = 583,207/x
  3. Step 3: Cross multiply
    272,650x = 583,207 × 583,207
  4. Step 4: Simplify right side
    272,650x = 340,130,404,849
  5. Step 5: Solve for x
    x = 340,130,404,849/272,650
  6. Step 6: Final answer
    x = 1,247,498.28

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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.