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Finding the Third Proportional to 388,392.75 and 596,124

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Solution

The third proportional to 388,392.75 and 596,124 is: 914,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,392.75 : 596,124 = 596,124 : x
  2. Step 2: Convert to fraction form
    388,392.75/596,124 = 596,124/x
  3. Step 3: Cross multiply
    388,392.75x = 596,124 × 596,124
  4. Step 4: Simplify right side
    388,392.75x = 355,363,823,376
  5. Step 5: Solve for x
    x = 355,363,823,376/388,392.75
  6. Step 6: Final answer
    x = 914,959.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.