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Finding the Third Proportional to 341,676.98 and 747,711

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Solution

The third proportional to 341,676.98 and 747,711 is: 1,636,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,676.98 : 747,711 = 747,711 : x
  2. Step 2: Convert to fraction form
    341,676.98/747,711 = 747,711/x
  3. Step 3: Cross multiply
    341,676.98x = 747,711 × 747,711
  4. Step 4: Simplify right side
    341,676.98x = 559,071,739,521
  5. Step 5: Solve for x
    x = 559,071,739,521/341,676.98
  6. Step 6: Final answer
    x = 1,636,258.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.