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Finding the Third Proportional to 207,402 and 329,783

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Solution

The third proportional to 207,402 and 329,783 is: 524,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,402 : 329,783 = 329,783 : x
  2. Step 2: Convert to fraction form
    207,402/329,783 = 329,783/x
  3. Step 3: Cross multiply
    207,402x = 329,783 × 329,783
  4. Step 4: Simplify right side
    207,402x = 108,756,827,089
  5. Step 5: Solve for x
    x = 108,756,827,089/207,402
  6. Step 6: Final answer
    x = 524,376.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.