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Finding the Third Proportional to 283,492 and 438,633

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Solution

The third proportional to 283,492 and 438,633 is: 678,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,492 : 438,633 = 438,633 : x
  2. Step 2: Convert to fraction form
    283,492/438,633 = 438,633/x
  3. Step 3: Cross multiply
    283,492x = 438,633 × 438,633
  4. Step 4: Simplify right side
    283,492x = 192,398,908,689
  5. Step 5: Solve for x
    x = 192,398,908,689/283,492
  6. Step 6: Final answer
    x = 678,674.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.