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Finding the Third Proportional to 435,440 and 659,724

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Solution

The third proportional to 435,440 and 659,724 is: 999,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,440 : 659,724 = 659,724 : x
  2. Step 2: Convert to fraction form
    435,440/659,724 = 659,724/x
  3. Step 3: Cross multiply
    435,440x = 659,724 × 659,724
  4. Step 4: Simplify right side
    435,440x = 435,235,756,176
  5. Step 5: Solve for x
    x = 435,235,756,176/435,440
  6. Step 6: Final answer
    x = 999,530.95

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Why These Related Problems?

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