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Finding the Third Proportional to 297,528 and 654,024

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Solution

The third proportional to 297,528 and 654,024 is: 1,437,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,528 : 654,024 = 654,024 : x
  2. Step 2: Convert to fraction form
    297,528/654,024 = 654,024/x
  3. Step 3: Cross multiply
    297,528x = 654,024 × 654,024
  4. Step 4: Simplify right side
    297,528x = 427,747,392,576
  5. Step 5: Solve for x
    x = 427,747,392,576/297,528
  6. Step 6: Final answer
    x = 1,437,671.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.