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Finding the Third Proportional to 434,187 and 655,817

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Solution

The third proportional to 434,187 and 655,817 is: 990,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,187 : 655,817 = 655,817 : x
  2. Step 2: Convert to fraction form
    434,187/655,817 = 655,817/x
  3. Step 3: Cross multiply
    434,187x = 655,817 × 655,817
  4. Step 4: Simplify right side
    434,187x = 430,095,937,489
  5. Step 5: Solve for x
    x = 430,095,937,489/434,187
  6. Step 6: Final answer
    x = 990,577.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.