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Finding the Third Proportional to 508,064 and 743,023

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Solution

The third proportional to 508,064 and 743,023 is: 1,086,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,064 : 743,023 = 743,023 : x
  2. Step 2: Convert to fraction form
    508,064/743,023 = 743,023/x
  3. Step 3: Cross multiply
    508,064x = 743,023 × 743,023
  4. Step 4: Simplify right side
    508,064x = 552,083,178,529
  5. Step 5: Solve for x
    x = 552,083,178,529/508,064
  6. Step 6: Final answer
    x = 1,086,641.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.