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Finding the Third Proportional to 435,349 and 659,594

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Solution

The third proportional to 435,349 and 659,594 is: 999,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,349 : 659,594 = 659,594 : x
  2. Step 2: Convert to fraction form
    435,349/659,594 = 659,594/x
  3. Step 3: Cross multiply
    435,349x = 659,594 × 659,594
  4. Step 4: Simplify right side
    435,349x = 435,064,244,836
  5. Step 5: Solve for x
    x = 435,064,244,836/435,349
  6. Step 6: Final answer
    x = 999,345.92

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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.