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Finding the Third Proportional to 264,465 and 581,411.25

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Solution

The third proportional to 264,465 and 581,411.25 is: 1,278,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,465 : 581,411.25 = 581,411.25 : x
  2. Step 2: Convert to fraction form
    264,465/581,411.25 = 581,411.25/x
  3. Step 3: Cross multiply
    264,465x = 581,411.25 × 581,411.25
  4. Step 4: Simplify right side
    264,465x = 338,039,041,626.56
  5. Step 5: Solve for x
    x = 338,039,041,626.56/264,465
  6. Step 6: Final answer
    x = 1,278,199.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.