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Finding the Third Proportional to 224,564 and 328,082

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Solution

The third proportional to 224,564 and 328,082 is: 479,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,564 : 328,082 = 328,082 : x
  2. Step 2: Convert to fraction form
    224,564/328,082 = 328,082/x
  3. Step 3: Cross multiply
    224,564x = 328,082 × 328,082
  4. Step 4: Simplify right side
    224,564x = 107,637,798,724
  5. Step 5: Solve for x
    x = 107,637,798,724/224,564
  6. Step 6: Final answer
    x = 479,319.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.