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Finding the Third Proportional to 386,248.50 and 596,889

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Solution

The third proportional to 386,248.50 and 596,889 is: 922,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,248.50 : 596,889 = 596,889 : x
  2. Step 2: Convert to fraction form
    386,248.50/596,889 = 596,889/x
  3. Step 3: Cross multiply
    386,248.50x = 596,889 × 596,889
  4. Step 4: Simplify right side
    386,248.50x = 356,276,478,321
  5. Step 5: Solve for x
    x = 356,276,478,321/386,248.50
  6. Step 6: Final answer
    x = 922,402.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.