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Finding the Third Proportional to 435,519 and 648,594

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Solution

The third proportional to 435,519 and 648,594 is: 965,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,519 : 648,594 = 648,594 : x
  2. Step 2: Convert to fraction form
    435,519/648,594 = 648,594/x
  3. Step 3: Cross multiply
    435,519x = 648,594 × 648,594
  4. Step 4: Simplify right side
    435,519x = 420,674,176,836
  5. Step 5: Solve for x
    x = 420,674,176,836/435,519
  6. Step 6: Final answer
    x = 965,914.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.