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Finding the Third Proportional to 506,118 and 764,400

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Solution

The third proportional to 506,118 and 764,400 is: 1,154,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,118 : 764,400 = 764,400 : x
  2. Step 2: Convert to fraction form
    506,118/764,400 = 764,400/x
  3. Step 3: Cross multiply
    506,118x = 764,400 × 764,400
  4. Step 4: Simplify right side
    506,118x = 584,307,360,000
  5. Step 5: Solve for x
    x = 584,307,360,000/506,118
  6. Step 6: Final answer
    x = 1,154,488.40

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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.