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Finding the Third Proportional to 477,819 and 745,767

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Solution

The third proportional to 477,819 and 745,767 is: 1,163,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,819 : 745,767 = 745,767 : x
  2. Step 2: Convert to fraction form
    477,819/745,767 = 745,767/x
  3. Step 3: Cross multiply
    477,819x = 745,767 × 745,767
  4. Step 4: Simplify right side
    477,819x = 556,168,418,289
  5. Step 5: Solve for x
    x = 556,168,418,289/477,819
  6. Step 6: Final answer
    x = 1,163,973.01

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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.