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Finding the Third Proportional to 492,966 and 704,457

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Solution

The third proportional to 492,966 and 704,457 is: 1,006,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,966 : 704,457 = 704,457 : x
  2. Step 2: Convert to fraction form
    492,966/704,457 = 704,457/x
  3. Step 3: Cross multiply
    492,966x = 704,457 × 704,457
  4. Step 4: Simplify right side
    492,966x = 496,259,664,849
  5. Step 5: Solve for x
    x = 496,259,664,849/492,966
  6. Step 6: Final answer
    x = 1,006,681.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.