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Finding the Third Proportional to 506,106 and 764,388

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Solution

The third proportional to 506,106 and 764,388 is: 1,154,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,106 : 764,388 = 764,388 : x
  2. Step 2: Convert to fraction form
    506,106/764,388 = 764,388/x
  3. Step 3: Cross multiply
    506,106x = 764,388 × 764,388
  4. Step 4: Simplify right side
    506,106x = 584,289,014,544
  5. Step 5: Solve for x
    x = 584,289,014,544/506,106
  6. Step 6: Final answer
    x = 1,154,479.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.