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Finding the Third Proportional to 459,549 and 997,555.50

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Solution

The third proportional to 459,549 and 997,555.50 is: 2,165,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,549 : 997,555.50 = 997,555.50 : x
  2. Step 2: Convert to fraction form
    459,549/997,555.50 = 997,555.50/x
  3. Step 3: Cross multiply
    459,549x = 997,555.50 × 997,555.50
  4. Step 4: Simplify right side
    459,549x = 995,116,975,580.25
  5. Step 5: Solve for x
    x = 995,116,975,580.25/459,549
  6. Step 6: Final answer
    x = 2,165,420.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.