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Finding the Third Proportional to 501,374 and 823,043

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Solution

The third proportional to 501,374 and 823,043 is: 1,351,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,374 : 823,043 = 823,043 : x
  2. Step 2: Convert to fraction form
    501,374/823,043 = 823,043/x
  3. Step 3: Cross multiply
    501,374x = 823,043 × 823,043
  4. Step 4: Simplify right side
    501,374x = 677,399,779,849
  5. Step 5: Solve for x
    x = 677,399,779,849/501,374
  6. Step 6: Final answer
    x = 1,351,086.77

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.