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Finding the Third Proportional to 395,280 and 596,394

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Solution

The third proportional to 395,280 and 596,394 is: 899,832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,280 : 596,394 = 596,394 : x
  2. Step 2: Convert to fraction form
    395,280/596,394 = 596,394/x
  3. Step 3: Cross multiply
    395,280x = 596,394 × 596,394
  4. Step 4: Simplify right side
    395,280x = 355,685,803,236
  5. Step 5: Solve for x
    x = 355,685,803,236/395,280
  6. Step 6: Final answer
    x = 899,832.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.