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Finding the Third Proportional to 407,566.50 and 893,865

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Solution

The third proportional to 407,566.50 and 893,865 is: 1,960,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,566.50 : 893,865 = 893,865 : x
  2. Step 2: Convert to fraction form
    407,566.50/893,865 = 893,865/x
  3. Step 3: Cross multiply
    407,566.50x = 893,865 × 893,865
  4. Step 4: Simplify right side
    407,566.50x = 798,994,638,225
  5. Step 5: Solve for x
    x = 798,994,638,225/407,566.50
  6. Step 6: Final answer
    x = 1,960,403.12

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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.