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Finding the Third Proportional to 371,364.75 and 501,484.50

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Solution

The third proportional to 371,364.75 and 501,484.50 is: 677,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,364.75 : 501,484.50 = 501,484.50 : x
  2. Step 2: Convert to fraction form
    371,364.75/501,484.50 = 501,484.50/x
  3. Step 3: Cross multiply
    371,364.75x = 501,484.50 × 501,484.50
  4. Step 4: Simplify right side
    371,364.75x = 251,486,703,740.25
  5. Step 5: Solve for x
    x = 251,486,703,740.25/371,364.75
  6. Step 6: Final answer
    x = 677,195.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.