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Finding the Third Proportional to 245,600 and 380,389

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Solution

The third proportional to 245,600 and 380,389 is: 589,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,600 : 380,389 = 380,389 : x
  2. Step 2: Convert to fraction form
    245,600/380,389 = 380,389/x
  3. Step 3: Cross multiply
    245,600x = 380,389 × 380,389
  4. Step 4: Simplify right side
    245,600x = 144,695,791,321
  5. Step 5: Solve for x
    x = 144,695,791,321/245,600
  6. Step 6: Final answer
    x = 589,152.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.