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Finding the Third Proportional to 592,190 and 884,335

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Solution

The third proportional to 592,190 and 884,335 is: 1,320,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,190 : 884,335 = 884,335 : x
  2. Step 2: Convert to fraction form
    592,190/884,335 = 884,335/x
  3. Step 3: Cross multiply
    592,190x = 884,335 × 884,335
  4. Step 4: Simplify right side
    592,190x = 782,048,392,225
  5. Step 5: Solve for x
    x = 782,048,392,225/592,190
  6. Step 6: Final answer
    x = 1,320,603.85

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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.