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Finding the Third Proportional to 421,184.50 and 602,297.50

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Solution

The third proportional to 421,184.50 and 602,297.50 is: 861,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,184.50 : 602,297.50 = 602,297.50 : x
  2. Step 2: Convert to fraction form
    421,184.50/602,297.50 = 602,297.50/x
  3. Step 3: Cross multiply
    421,184.50x = 602,297.50 × 602,297.50
  4. Step 4: Simplify right side
    421,184.50x = 362,762,278,506.25
  5. Step 5: Solve for x
    x = 362,762,278,506.25/421,184.50
  6. Step 6: Final answer
    x = 861,290.67

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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.