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Finding the Third Proportional to 477,900 and 745,882

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Solution

The third proportional to 477,900 and 745,882 is: 1,164,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,900 : 745,882 = 745,882 : x
  2. Step 2: Convert to fraction form
    477,900/745,882 = 745,882/x
  3. Step 3: Cross multiply
    477,900x = 745,882 × 745,882
  4. Step 4: Simplify right side
    477,900x = 556,339,957,924
  5. Step 5: Solve for x
    x = 556,339,957,924/477,900
  6. Step 6: Final answer
    x = 1,164,134.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.