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Finding the Third Proportional to 272,820 and 592,290

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Solution

The third proportional to 272,820 and 592,290 is: 1,285,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,820 : 592,290 = 592,290 : x
  2. Step 2: Convert to fraction form
    272,820/592,290 = 592,290/x
  3. Step 3: Cross multiply
    272,820x = 592,290 × 592,290
  4. Step 4: Simplify right side
    272,820x = 350,807,444,100
  5. Step 5: Solve for x
    x = 350,807,444,100/272,820
  6. Step 6: Final answer
    x = 1,285,856.77

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