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Finding the Third Proportional to 387,026 and 597,783

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Solution

The third proportional to 387,026 and 597,783 is: 923,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,026 : 597,783 = 597,783 : x
  2. Step 2: Convert to fraction form
    387,026/597,783 = 597,783/x
  3. Step 3: Cross multiply
    387,026x = 597,783 × 597,783
  4. Step 4: Simplify right side
    387,026x = 357,344,515,089
  5. Step 5: Solve for x
    x = 357,344,515,089/387,026
  6. Step 6: Final answer
    x = 923,308.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.