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Finding the Third Proportional to 402,024 and 545,984

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Solution

The third proportional to 402,024 and 545,984 is: 741,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,024 : 545,984 = 545,984 : x
  2. Step 2: Convert to fraction form
    402,024/545,984 = 545,984/x
  3. Step 3: Cross multiply
    402,024x = 545,984 × 545,984
  4. Step 4: Simplify right side
    402,024x = 298,098,528,256
  5. Step 5: Solve for x
    x = 298,098,528,256/402,024
  6. Step 6: Final answer
    x = 741,494.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.