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Finding the Third Proportional to 431,702 and 653,574

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Solution

The third proportional to 431,702 and 653,574 is: 989,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,702 : 653,574 = 653,574 : x
  2. Step 2: Convert to fraction form
    431,702/653,574 = 653,574/x
  3. Step 3: Cross multiply
    431,702x = 653,574 × 653,574
  4. Step 4: Simplify right side
    431,702x = 427,158,973,476
  5. Step 5: Solve for x
    x = 427,158,973,476/431,702
  6. Step 6: Final answer
    x = 989,476.48

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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.