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Finding the Third Proportional to 408,699 and 607,216.50

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Solution

The third proportional to 408,699 and 607,216.50 is: 902,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,699 : 607,216.50 = 607,216.50 : x
  2. Step 2: Convert to fraction form
    408,699/607,216.50 = 607,216.50/x
  3. Step 3: Cross multiply
    408,699x = 607,216.50 × 607,216.50
  4. Step 4: Simplify right side
    408,699x = 368,711,877,872.25
  5. Step 5: Solve for x
    x = 368,711,877,872.25/408,699
  6. Step 6: Final answer
    x = 902,159.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.