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Finding the Third Proportional to 328,141.13 and 717,017.06

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Solution

The third proportional to 328,141.13 and 717,017.06 is: 1,566,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,141.13 : 717,017.06 = 717,017.06 : x
  2. Step 2: Convert to fraction form
    328,141.13/717,017.06 = 717,017.06/x
  3. Step 3: Cross multiply
    328,141.13x = 717,017.06 × 717,017.06
  4. Step 4: Simplify right side
    328,141.13x = 514,113,467,916.13
  5. Step 5: Solve for x
    x = 514,113,467,916.13/328,141.13
  6. Step 6: Final answer
    x = 1,566,745.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.