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Finding the Third Proportional to 264,410.50 and 385,541

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Solution

The third proportional to 264,410.50 and 385,541 is: 562,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,410.50 : 385,541 = 385,541 : x
  2. Step 2: Convert to fraction form
    264,410.50/385,541 = 385,541/x
  3. Step 3: Cross multiply
    264,410.50x = 385,541 × 385,541
  4. Step 4: Simplify right side
    264,410.50x = 148,641,862,681
  5. Step 5: Solve for x
    x = 148,641,862,681/264,410.50
  6. Step 6: Final answer
    x = 562,163.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.