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Finding the Third Proportional to 357,782.06 and 777,681

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Solution

The third proportional to 357,782.06 and 777,681 is: 1,690,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,782.06 : 777,681 = 777,681 : x
  2. Step 2: Convert to fraction form
    357,782.06/777,681 = 777,681/x
  3. Step 3: Cross multiply
    357,782.06x = 777,681 × 777,681
  4. Step 4: Simplify right side
    357,782.06x = 604,787,737,761
  5. Step 5: Solve for x
    x = 604,787,737,761/357,782.06
  6. Step 6: Final answer
    x = 1,690,380.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.