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Finding the Third Proportional to 224,833 and 465,513

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Solution

The third proportional to 224,833 and 465,513 is: 963,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,833 : 465,513 = 465,513 : x
  2. Step 2: Convert to fraction form
    224,833/465,513 = 465,513/x
  3. Step 3: Cross multiply
    224,833x = 465,513 × 465,513
  4. Step 4: Simplify right side
    224,833x = 216,702,353,169
  5. Step 5: Solve for x
    x = 216,702,353,169/224,833
  6. Step 6: Final answer
    x = 963,836.95

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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.