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Finding the Third Proportional to 328,484.50 and 708,242

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Solution

The third proportional to 328,484.50 and 708,242 is: 1,527,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,484.50 : 708,242 = 708,242 : x
  2. Step 2: Convert to fraction form
    328,484.50/708,242 = 708,242/x
  3. Step 3: Cross multiply
    328,484.50x = 708,242 × 708,242
  4. Step 4: Simplify right side
    328,484.50x = 501,606,730,564
  5. Step 5: Solve for x
    x = 501,606,730,564/328,484.50
  6. Step 6: Final answer
    x = 1,527,033.18

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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.