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Finding the Third Proportional to 602,904 and 959,703

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Solution

The third proportional to 602,904 and 959,703 is: 1,527,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,904 : 959,703 = 959,703 : x
  2. Step 2: Convert to fraction form
    602,904/959,703 = 959,703/x
  3. Step 3: Cross multiply
    602,904x = 959,703 × 959,703
  4. Step 4: Simplify right side
    602,904x = 921,029,848,209
  5. Step 5: Solve for x
    x = 921,029,848,209/602,904
  6. Step 6: Final answer
    x = 1,527,655.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.