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Finding the Third Proportional to 435,429 and 659,706

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Solution

The third proportional to 435,429 and 659,706 is: 999,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,429 : 659,706 = 659,706 : x
  2. Step 2: Convert to fraction form
    435,429/659,706 = 659,706/x
  3. Step 3: Cross multiply
    435,429x = 659,706 × 659,706
  4. Step 4: Simplify right side
    435,429x = 435,212,006,436
  5. Step 5: Solve for x
    x = 435,212,006,436/435,429
  6. Step 6: Final answer
    x = 999,501.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.