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Finding the Third Proportional to 604,080 and 959,688

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Solution

The third proportional to 604,080 and 959,688 is: 1,524,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,080 : 959,688 = 959,688 : x
  2. Step 2: Convert to fraction form
    604,080/959,688 = 959,688/x
  3. Step 3: Cross multiply
    604,080x = 959,688 × 959,688
  4. Step 4: Simplify right side
    604,080x = 921,001,057,344
  5. Step 5: Solve for x
    x = 921,001,057,344/604,080
  6. Step 6: Final answer
    x = 1,524,634.25

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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.