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Finding the Third Proportional to 592,188 and 884,334

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Solution

The third proportional to 592,188 and 884,334 is: 1,320,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,188 : 884,334 = 884,334 : x
  2. Step 2: Convert to fraction form
    592,188/884,334 = 884,334/x
  3. Step 3: Cross multiply
    592,188x = 884,334 × 884,334
  4. Step 4: Simplify right side
    592,188x = 782,046,623,556
  5. Step 5: Solve for x
    x = 782,046,623,556/592,188
  6. Step 6: Final answer
    x = 1,320,605.32

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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.