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Finding the Third Proportional to 356,152.50 and 509,263.50

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Solution

The third proportional to 356,152.50 and 509,263.50 is: 728,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,152.50 : 509,263.50 = 509,263.50 : x
  2. Step 2: Convert to fraction form
    356,152.50/509,263.50 = 509,263.50/x
  3. Step 3: Cross multiply
    356,152.50x = 509,263.50 × 509,263.50
  4. Step 4: Simplify right side
    356,152.50x = 259,349,312,432.25
  5. Step 5: Solve for x
    x = 259,349,312,432.25/356,152.50
  6. Step 6: Final answer
    x = 728,197.37

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.