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Finding the Third Proportional to 288,218 and 460,435

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Solution

The third proportional to 288,218 and 460,435 is: 735,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,218 : 460,435 = 460,435 : x
  2. Step 2: Convert to fraction form
    288,218/460,435 = 460,435/x
  3. Step 3: Cross multiply
    288,218x = 460,435 × 460,435
  4. Step 4: Simplify right side
    288,218x = 212,000,389,225
  5. Step 5: Solve for x
    x = 212,000,389,225/288,218
  6. Step 6: Final answer
    x = 735,555.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.