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Finding the Third Proportional to 328,852.50 and 708,462

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Solution

The third proportional to 328,852.50 and 708,462 is: 1,526,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,852.50 : 708,462 = 708,462 : x
  2. Step 2: Convert to fraction form
    328,852.50/708,462 = 708,462/x
  3. Step 3: Cross multiply
    328,852.50x = 708,462 × 708,462
  4. Step 4: Simplify right side
    328,852.50x = 501,918,405,444
  5. Step 5: Solve for x
    x = 501,918,405,444/328,852.50
  6. Step 6: Final answer
    x = 1,526,272.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.