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Finding the Third Proportional to 453,019 and 634,985

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Solution

The third proportional to 453,019 and 634,985 is: 890,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,019 : 634,985 = 634,985 : x
  2. Step 2: Convert to fraction form
    453,019/634,985 = 634,985/x
  3. Step 3: Cross multiply
    453,019x = 634,985 × 634,985
  4. Step 4: Simplify right side
    453,019x = 403,205,950,225
  5. Step 5: Solve for x
    x = 403,205,950,225/453,019
  6. Step 6: Final answer
    x = 890,042.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.