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Finding the Third Proportional to 374,334.75 and 575,390.25

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Solution

The third proportional to 374,334.75 and 575,390.25 is: 884,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,334.75 : 575,390.25 = 575,390.25 : x
  2. Step 2: Convert to fraction form
    374,334.75/575,390.25 = 575,390.25/x
  3. Step 3: Cross multiply
    374,334.75x = 575,390.25 × 575,390.25
  4. Step 4: Simplify right side
    374,334.75x = 331,073,939,795.06
  5. Step 5: Solve for x
    x = 331,073,939,795.06/374,334.75
  6. Step 6: Final answer
    x = 884,432.82

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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.