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Finding the Third Proportional to 425,548 and 630,106

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Solution

The third proportional to 425,548 and 630,106 is: 932,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,548 : 630,106 = 630,106 : x
  2. Step 2: Convert to fraction form
    425,548/630,106 = 630,106/x
  3. Step 3: Cross multiply
    425,548x = 630,106 × 630,106
  4. Step 4: Simplify right side
    425,548x = 397,033,571,236
  5. Step 5: Solve for x
    x = 397,033,571,236/425,548
  6. Step 6: Final answer
    x = 932,993.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.