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Finding the Third Proportional to 221,308 and 474,869.50

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Solution

The third proportional to 221,308 and 474,869.50 is: 1,018,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,308 : 474,869.50 = 474,869.50 : x
  2. Step 2: Convert to fraction form
    221,308/474,869.50 = 474,869.50/x
  3. Step 3: Cross multiply
    221,308x = 474,869.50 × 474,869.50
  4. Step 4: Simplify right side
    221,308x = 225,501,042,030.25
  5. Step 5: Solve for x
    x = 225,501,042,030.25/221,308
  6. Step 6: Final answer
    x = 1,018,946.64

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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.