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Finding the Third Proportional to 576,024 and 764,358

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Solution

The third proportional to 576,024 and 764,358 is: 1,014,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,024 : 764,358 = 764,358 : x
  2. Step 2: Convert to fraction form
    576,024/764,358 = 764,358/x
  3. Step 3: Cross multiply
    576,024x = 764,358 × 764,358
  4. Step 4: Simplify right side
    576,024x = 584,243,152,164
  5. Step 5: Solve for x
    x = 584,243,152,164/576,024
  6. Step 6: Final answer
    x = 1,014,268.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.