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Finding the Third Proportional to 506,095 and 764,371

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Solution

The third proportional to 506,095 and 764,371 is: 1,154,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,095 : 764,371 = 764,371 : x
  2. Step 2: Convert to fraction form
    506,095/764,371 = 764,371/x
  3. Step 3: Cross multiply
    506,095x = 764,371 × 764,371
  4. Step 4: Simplify right side
    506,095x = 584,263,025,641
  5. Step 5: Solve for x
    x = 584,263,025,641/506,095
  6. Step 6: Final answer
    x = 1,154,453.27

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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.