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Finding the Third Proportional to 387,813 and 595,895.50

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Solution

The third proportional to 387,813 and 595,895.50 is: 915,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,813 : 595,895.50 = 595,895.50 : x
  2. Step 2: Convert to fraction form
    387,813/595,895.50 = 595,895.50/x
  3. Step 3: Cross multiply
    387,813x = 595,895.50 × 595,895.50
  4. Step 4: Simplify right side
    387,813x = 355,091,446,920.25
  5. Step 5: Solve for x
    x = 355,091,446,920.25/387,813
  6. Step 6: Final answer
    x = 915,625.44

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.