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Finding the Third Proportional to 435,546 and 653,323

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Solution

The third proportional to 435,546 and 653,323 is: 979,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,546 : 653,323 = 653,323 : x
  2. Step 2: Convert to fraction form
    435,546/653,323 = 653,323/x
  3. Step 3: Cross multiply
    435,546x = 653,323 × 653,323
  4. Step 4: Simplify right side
    435,546x = 426,830,942,329
  5. Step 5: Solve for x
    x = 426,830,942,329/435,546
  6. Step 6: Final answer
    x = 979,990.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.