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Finding the Third Proportional to 308,163 and 432,688.50

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Solution

The third proportional to 308,163 and 432,688.50 is: 607,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,163 : 432,688.50 = 432,688.50 : x
  2. Step 2: Convert to fraction form
    308,163/432,688.50 = 432,688.50/x
  3. Step 3: Cross multiply
    308,163x = 432,688.50 × 432,688.50
  4. Step 4: Simplify right side
    308,163x = 187,219,338,032.25
  5. Step 5: Solve for x
    x = 187,219,338,032.25/308,163
  6. Step 6: Final answer
    x = 607,533.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.