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Finding the Third Proportional to 425,264 and 665,596

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Solution

The third proportional to 425,264 and 665,596 is: 1,041,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,264 : 665,596 = 665,596 : x
  2. Step 2: Convert to fraction form
    425,264/665,596 = 665,596/x
  3. Step 3: Cross multiply
    425,264x = 665,596 × 665,596
  4. Step 4: Simplify right side
    425,264x = 443,018,035,216
  5. Step 5: Solve for x
    x = 443,018,035,216/425,264
  6. Step 6: Final answer
    x = 1,041,748.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.