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Finding the Third Proportional to 264,595.36 and 571,632.19

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Solution

The third proportional to 264,595.36 and 571,632.19 is: 1,234,954.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,595.36 : 571,632.19 = 571,632.19 : x
  2. Step 2: Convert to fraction form
    264,595.36/571,632.19 = 571,632.19/x
  3. Step 3: Cross multiply
    264,595.36x = 571,632.19 × 571,632.19
  4. Step 4: Simplify right side
    264,595.36x = 326,763,357,786.04
  5. Step 5: Solve for x
    x = 326,763,357,786.04/264,595.36
  6. Step 6: Final answer
    x = 1,234,954.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.