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Finding the Third Proportional to 655,308 and 988,983

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Solution

The third proportional to 655,308 and 988,983 is: 1,492,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,308 : 988,983 = 988,983 : x
  2. Step 2: Convert to fraction form
    655,308/988,983 = 988,983/x
  3. Step 3: Cross multiply
    655,308x = 988,983 × 988,983
  4. Step 4: Simplify right side
    655,308x = 978,087,374,289
  5. Step 5: Solve for x
    x = 978,087,374,289/655,308
  6. Step 6: Final answer
    x = 1,492,561.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.