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Finding the Third Proportional to 207,302 and 429,364

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Solution

The third proportional to 207,302 and 429,364 is: 889,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,302 : 429,364 = 429,364 : x
  2. Step 2: Convert to fraction form
    207,302/429,364 = 429,364/x
  3. Step 3: Cross multiply
    207,302x = 429,364 × 429,364
  4. Step 4: Simplify right side
    207,302x = 184,353,444,496
  5. Step 5: Solve for x
    x = 184,353,444,496/207,302
  6. Step 6: Final answer
    x = 889,298.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.