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Finding the Third Proportional to 329,152.50 and 708,255

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Solution

The third proportional to 329,152.50 and 708,255 is: 1,523,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,152.50 : 708,255 = 708,255 : x
  2. Step 2: Convert to fraction form
    329,152.50/708,255 = 708,255/x
  3. Step 3: Cross multiply
    329,152.50x = 708,255 × 708,255
  4. Step 4: Simplify right side
    329,152.50x = 501,625,145,025
  5. Step 5: Solve for x
    x = 501,625,145,025/329,152.50
  6. Step 6: Final answer
    x = 1,523,990.08

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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.