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Finding the Third Proportional to 709,346 and 995,355

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Solution

The third proportional to 709,346 and 995,355 is: 1,396,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,346 : 995,355 = 995,355 : x
  2. Step 2: Convert to fraction form
    709,346/995,355 = 995,355/x
  3. Step 3: Cross multiply
    709,346x = 995,355 × 995,355
  4. Step 4: Simplify right side
    709,346x = 990,731,576,025
  5. Step 5: Solve for x
    x = 990,731,576,025/709,346
  6. Step 6: Final answer
    x = 1,396,683.11

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