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Finding the Third Proportional to 354,444 and 777,783

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Solution

The third proportional to 354,444 and 777,783 is: 1,706,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,444 : 777,783 = 777,783 : x
  2. Step 2: Convert to fraction form
    354,444/777,783 = 777,783/x
  3. Step 3: Cross multiply
    354,444x = 777,783 × 777,783
  4. Step 4: Simplify right side
    354,444x = 604,946,395,089
  5. Step 5: Solve for x
    x = 604,946,395,089/354,444
  6. Step 6: Final answer
    x = 1,706,747.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.