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Finding the Third Proportional to 245,426 and 377,108

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Solution

The third proportional to 245,426 and 377,108 is: 579,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,426 : 377,108 = 377,108 : x
  2. Step 2: Convert to fraction form
    245,426/377,108 = 377,108/x
  3. Step 3: Cross multiply
    245,426x = 377,108 × 377,108
  4. Step 4: Simplify right side
    245,426x = 142,210,443,664
  5. Step 5: Solve for x
    x = 142,210,443,664/245,426
  6. Step 6: Final answer
    x = 579,443.27

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Why These Related Problems?

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