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Finding the Third Proportional to 328,024 and 710,453

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Solution

The third proportional to 328,024 and 710,453 is: 1,538,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,024 : 710,453 = 710,453 : x
  2. Step 2: Convert to fraction form
    328,024/710,453 = 710,453/x
  3. Step 3: Cross multiply
    328,024x = 710,453 × 710,453
  4. Step 4: Simplify right side
    328,024x = 504,743,465,209
  5. Step 5: Solve for x
    x = 504,743,465,209/328,024
  6. Step 6: Final answer
    x = 1,538,739.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.