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Finding the Third Proportional to 421,702.50 and 925,476

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Solution

The third proportional to 421,702.50 and 925,476 is: 2,031,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,702.50 : 925,476 = 925,476 : x
  2. Step 2: Convert to fraction form
    421,702.50/925,476 = 925,476/x
  3. Step 3: Cross multiply
    421,702.50x = 925,476 × 925,476
  4. Step 4: Simplify right side
    421,702.50x = 856,505,826,576
  5. Step 5: Solve for x
    x = 856,505,826,576/421,702.50
  6. Step 6: Final answer
    x = 2,031,066.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.