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Finding the Third Proportional to 425,124 and 651,078

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Solution

The third proportional to 425,124 and 651,078 is: 997,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,124 : 651,078 = 651,078 : x
  2. Step 2: Convert to fraction form
    425,124/651,078 = 651,078/x
  3. Step 3: Cross multiply
    425,124x = 651,078 × 651,078
  4. Step 4: Simplify right side
    425,124x = 423,902,562,084
  5. Step 5: Solve for x
    x = 423,902,562,084/425,124
  6. Step 6: Final answer
    x = 997,126.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.