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Finding the Third Proportional to 388,916 and 583,381

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Solution

The third proportional to 388,916 and 583,381 is: 875,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,916 : 583,381 = 583,381 : x
  2. Step 2: Convert to fraction form
    388,916/583,381 = 583,381/x
  3. Step 3: Cross multiply
    388,916x = 583,381 × 583,381
  4. Step 4: Simplify right side
    388,916x = 340,333,391,161
  5. Step 5: Solve for x
    x = 340,333,391,161/388,916
  6. Step 6: Final answer
    x = 875,082.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.