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Finding the Third Proportional to 244,413 and 376,106

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Solution

The third proportional to 244,413 and 376,106 is: 578,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,413 : 376,106 = 376,106 : x
  2. Step 2: Convert to fraction form
    244,413/376,106 = 376,106/x
  3. Step 3: Cross multiply
    244,413x = 376,106 × 376,106
  4. Step 4: Simplify right side
    244,413x = 141,455,723,236
  5. Step 5: Solve for x
    x = 141,455,723,236/244,413
  6. Step 6: Final answer
    x = 578,756.95

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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.