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Finding the Third Proportional to 592,308 and 844,158

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Solution

The third proportional to 592,308 and 844,158 is: 1,203,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,308 : 844,158 = 844,158 : x
  2. Step 2: Convert to fraction form
    592,308/844,158 = 844,158/x
  3. Step 3: Cross multiply
    592,308x = 844,158 × 844,158
  4. Step 4: Simplify right side
    592,308x = 712,602,728,964
  5. Step 5: Solve for x
    x = 712,602,728,964/592,308
  6. Step 6: Final answer
    x = 1,203,094.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.