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Finding the Third Proportional to 434,006 and 671,948

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Solution

The third proportional to 434,006 and 671,948 is: 1,040,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,006 : 671,948 = 671,948 : x
  2. Step 2: Convert to fraction form
    434,006/671,948 = 671,948/x
  3. Step 3: Cross multiply
    434,006x = 671,948 × 671,948
  4. Step 4: Simplify right side
    434,006x = 451,514,114,704
  5. Step 5: Solve for x
    x = 451,514,114,704/434,006
  6. Step 6: Final answer
    x = 1,040,340.72

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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.