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Finding the Third Proportional to 592,192 and 884,340

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Solution

The third proportional to 592,192 and 884,340 is: 1,320,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,192 : 884,340 = 884,340 : x
  2. Step 2: Convert to fraction form
    592,192/884,340 = 884,340/x
  3. Step 3: Cross multiply
    592,192x = 884,340 × 884,340
  4. Step 4: Simplify right side
    592,192x = 782,057,235,600
  5. Step 5: Solve for x
    x = 782,057,235,600/592,192
  6. Step 6: Final answer
    x = 1,320,614.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.