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Finding the Third Proportional to 283,951 and 423,465

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Solution

The third proportional to 283,951 and 423,465 is: 631,526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,951 : 423,465 = 423,465 : x
  2. Step 2: Convert to fraction form
    283,951/423,465 = 423,465/x
  3. Step 3: Cross multiply
    283,951x = 423,465 × 423,465
  4. Step 4: Simplify right side
    283,951x = 179,322,606,225
  5. Step 5: Solve for x
    x = 179,322,606,225/283,951
  6. Step 6: Final answer
    x = 631,526.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.