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Finding the Third Proportional to 544,024 and 599,428

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Solution

The third proportional to 544,024 and 599,428 is: 660,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,024 : 599,428 = 599,428 : x
  2. Step 2: Convert to fraction form
    544,024/599,428 = 599,428/x
  3. Step 3: Cross multiply
    544,024x = 599,428 × 599,428
  4. Step 4: Simplify right side
    544,024x = 359,313,927,184
  5. Step 5: Solve for x
    x = 359,313,927,184/544,024
  6. Step 6: Final answer
    x = 660,474.40

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.