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Finding the Third Proportional to 326,485 and 478,549.50

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Solution

The third proportional to 326,485 and 478,549.50 is: 701,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,485 : 478,549.50 = 478,549.50 : x
  2. Step 2: Convert to fraction form
    326,485/478,549.50 = 478,549.50/x
  3. Step 3: Cross multiply
    326,485x = 478,549.50 × 478,549.50
  4. Step 4: Simplify right side
    326,485x = 229,009,623,950.25
  5. Step 5: Solve for x
    x = 229,009,623,950.25/326,485
  6. Step 6: Final answer
    x = 701,439.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.