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Finding the Third Proportional to 272,672 and 583,252

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Solution

The third proportional to 272,672 and 583,252 is: 1,247,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,672 : 583,252 = 583,252 : x
  2. Step 2: Convert to fraction form
    272,672/583,252 = 583,252/x
  3. Step 3: Cross multiply
    272,672x = 583,252 × 583,252
  4. Step 4: Simplify right side
    272,672x = 340,182,895,504
  5. Step 5: Solve for x
    x = 340,182,895,504/272,672
  6. Step 6: Final answer
    x = 1,247,590.13

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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.