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Finding the Third Proportional to 264,862 and 574,875.50

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Solution

The third proportional to 264,862 and 574,875.50 is: 1,247,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,862 : 574,875.50 = 574,875.50 : x
  2. Step 2: Convert to fraction form
    264,862/574,875.50 = 574,875.50/x
  3. Step 3: Cross multiply
    264,862x = 574,875.50 × 574,875.50
  4. Step 4: Simplify right side
    264,862x = 330,481,840,500.25
  5. Step 5: Solve for x
    x = 330,481,840,500.25/264,862
  6. Step 6: Final answer
    x = 1,247,751.06

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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.