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Finding the Third Proportional to 289,002 and 460,258

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Solution

The third proportional to 289,002 and 460,258 is: 732,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,002 : 460,258 = 460,258 : x
  2. Step 2: Convert to fraction form
    289,002/460,258 = 460,258/x
  3. Step 3: Cross multiply
    289,002x = 460,258 × 460,258
  4. Step 4: Simplify right side
    289,002x = 211,837,426,564
  5. Step 5: Solve for x
    x = 211,837,426,564/289,002
  6. Step 6: Final answer
    x = 732,996.40

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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.