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Finding the Third Proportional to 328,927.50 and 708,610.50

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Solution

The third proportional to 328,927.50 and 708,610.50 is: 1,526,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,927.50 : 708,610.50 = 708,610.50 : x
  2. Step 2: Convert to fraction form
    328,927.50/708,610.50 = 708,610.50/x
  3. Step 3: Cross multiply
    328,927.50x = 708,610.50 × 708,610.50
  4. Step 4: Simplify right side
    328,927.50x = 502,128,840,710.25
  5. Step 5: Solve for x
    x = 502,128,840,710.25/328,927.50
  6. Step 6: Final answer
    x = 1,526,563.88

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Why These Related Problems?

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