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Finding the Third Proportional to 655,276 and 988,926

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Solution

The third proportional to 655,276 and 988,926 is: 1,492,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,276 : 988,926 = 988,926 : x
  2. Step 2: Convert to fraction form
    655,276/988,926 = 988,926/x
  3. Step 3: Cross multiply
    655,276x = 988,926 × 988,926
  4. Step 4: Simplify right side
    655,276x = 977,974,633,476
  5. Step 5: Solve for x
    x = 977,974,633,476/655,276
  6. Step 6: Final answer
    x = 1,492,462.16

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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.