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Finding the Third Proportional to 329,566.50 and 708,813

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Solution

The third proportional to 329,566.50 and 708,813 is: 1,524,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,566.50 : 708,813 = 708,813 : x
  2. Step 2: Convert to fraction form
    329,566.50/708,813 = 708,813/x
  3. Step 3: Cross multiply
    329,566.50x = 708,813 × 708,813
  4. Step 4: Simplify right side
    329,566.50x = 502,415,868,969
  5. Step 5: Solve for x
    x = 502,415,868,969/329,566.50
  6. Step 6: Final answer
    x = 1,524,474.94

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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.