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Finding the Third Proportional to 475,458 and 738,579

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Solution

The third proportional to 475,458 and 738,579 is: 1,147,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,458 : 738,579 = 738,579 : x
  2. Step 2: Convert to fraction form
    475,458/738,579 = 738,579/x
  3. Step 3: Cross multiply
    475,458x = 738,579 × 738,579
  4. Step 4: Simplify right side
    475,458x = 545,498,939,241
  5. Step 5: Solve for x
    x = 545,498,939,241/475,458
  6. Step 6: Final answer
    x = 1,147,312.57

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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.