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Finding the Third Proportional to 612,955 and 951,508.50

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Solution

The third proportional to 612,955 and 951,508.50 is: 1,477,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,955 : 951,508.50 = 951,508.50 : x
  2. Step 2: Convert to fraction form
    612,955/951,508.50 = 951,508.50/x
  3. Step 3: Cross multiply
    612,955x = 951,508.50 × 951,508.50
  4. Step 4: Simplify right side
    612,955x = 905,368,425,572.25
  5. Step 5: Solve for x
    x = 905,368,425,572.25/612,955
  6. Step 6: Final answer
    x = 1,477,055.29

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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.