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Finding the Third Proportional to 353,632.50 and 723,607.50

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Solution

The third proportional to 353,632.50 and 723,607.50 is: 1,480,655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,632.50 : 723,607.50 = 723,607.50 : x
  2. Step 2: Convert to fraction form
    353,632.50/723,607.50 = 723,607.50/x
  3. Step 3: Cross multiply
    353,632.50x = 723,607.50 × 723,607.50
  4. Step 4: Simplify right side
    353,632.50x = 523,607,814,056.25
  5. Step 5: Solve for x
    x = 523,607,814,056.25/353,632.50
  6. Step 6: Final answer
    x = 1,480,655.24

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.