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Finding the Third Proportional to 264,826.13 and 377,394.19

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Solution

The third proportional to 264,826.13 and 377,394.19 is: 537,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,826.13 : 377,394.19 = 377,394.19 : x
  2. Step 2: Convert to fraction form
    264,826.13/377,394.19 = 377,394.19/x
  3. Step 3: Cross multiply
    264,826.13x = 377,394.19 × 377,394.19
  4. Step 4: Simplify right side
    264,826.13x = 142,426,372,758.79
  5. Step 5: Solve for x
    x = 142,426,372,758.79/264,826.13
  6. Step 6: Final answer
    x = 537,810.89

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.