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Finding the Third Proportional to 328,262.63 and 714,040.31

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Solution

The third proportional to 328,262.63 and 714,040.31 is: 1,553,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,262.63 : 714,040.31 = 714,040.31 : x
  2. Step 2: Convert to fraction form
    328,262.63/714,040.31 = 714,040.31/x
  3. Step 3: Cross multiply
    328,262.63x = 714,040.31 × 714,040.31
  4. Step 4: Simplify right side
    328,262.63x = 509,853,567,875.10
  5. Step 5: Solve for x
    x = 509,853,567,875.10/328,262.63
  6. Step 6: Final answer
    x = 1,553,187.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.