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Finding the Third Proportional to 386,256 and 596,877

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Solution

The third proportional to 386,256 and 596,877 is: 922,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,256 : 596,877 = 596,877 : x
  2. Step 2: Convert to fraction form
    386,256/596,877 = 596,877/x
  3. Step 3: Cross multiply
    386,256x = 596,877 × 596,877
  4. Step 4: Simplify right side
    386,256x = 356,262,153,129
  5. Step 5: Solve for x
    x = 356,262,153,129/386,256
  6. Step 6: Final answer
    x = 922,347.23

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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.