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Finding the Third Proportional to 374,326.50 and 575,947.50

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Solution

The third proportional to 374,326.50 and 575,947.50 is: 886,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,326.50 : 575,947.50 = 575,947.50 : x
  2. Step 2: Convert to fraction form
    374,326.50/575,947.50 = 575,947.50/x
  3. Step 3: Cross multiply
    374,326.50x = 575,947.50 × 575,947.50
  4. Step 4: Simplify right side
    374,326.50x = 331,715,522,756.25
  5. Step 5: Solve for x
    x = 331,715,522,756.25/374,326.50
  6. Step 6: Final answer
    x = 886,166.28

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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.