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Finding the Third Proportional to 272,925 and 592,237

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Solution

The third proportional to 272,925 and 592,237 is: 1,285,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,925 : 592,237 = 592,237 : x
  2. Step 2: Convert to fraction form
    272,925/592,237 = 592,237/x
  3. Step 3: Cross multiply
    272,925x = 592,237 × 592,237
  4. Step 4: Simplify right side
    272,925x = 350,744,664,169
  5. Step 5: Solve for x
    x = 350,744,664,169/272,925
  6. Step 6: Final answer
    x = 1,285,132.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.