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Finding the Third Proportional to 387,321.75 and 592,069.50

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Solution

The third proportional to 387,321.75 and 592,069.50 is: 905,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,321.75 : 592,069.50 = 592,069.50 : x
  2. Step 2: Convert to fraction form
    387,321.75/592,069.50 = 592,069.50/x
  3. Step 3: Cross multiply
    387,321.75x = 592,069.50 × 592,069.50
  4. Step 4: Simplify right side
    387,321.75x = 350,546,292,830.25
  5. Step 5: Solve for x
    x = 350,546,292,830.25/387,321.75
  6. Step 6: Final answer
    x = 905,051.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.