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Finding the Third Proportional to 374,915.81 and 535,751.44

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Solution

The third proportional to 374,915.81 and 535,751.44 is: 765,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,915.81 : 535,751.44 = 535,751.44 : x
  2. Step 2: Convert to fraction form
    374,915.81/535,751.44 = 535,751.44/x
  3. Step 3: Cross multiply
    374,915.81x = 535,751.44 × 535,751.44
  4. Step 4: Simplify right side
    374,915.81x = 287,029,602,783.32
  5. Step 5: Solve for x
    x = 287,029,602,783.32/374,915.81
  6. Step 6: Final answer
    x = 765,584.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.