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Finding the Third Proportional to 423,357 and 648,522

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Solution

The third proportional to 423,357 and 648,522 is: 993,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,357 : 648,522 = 648,522 : x
  2. Step 2: Convert to fraction form
    423,357/648,522 = 648,522/x
  3. Step 3: Cross multiply
    423,357x = 648,522 × 648,522
  4. Step 4: Simplify right side
    423,357x = 420,580,784,484
  5. Step 5: Solve for x
    x = 420,580,784,484/423,357
  6. Step 6: Final answer
    x = 993,442.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.