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Finding the Third Proportional to 288,219.38 and 460,434.94

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Solution

The third proportional to 288,219.38 and 460,434.94 is: 735,551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,219.38 : 460,434.94 = 460,434.94 : x
  2. Step 2: Convert to fraction form
    288,219.38/460,434.94 = 460,434.94/x
  3. Step 3: Cross multiply
    288,219.38x = 460,434.94 × 460,434.94
  4. Step 4: Simplify right side
    288,219.38x = 212,000,331,670.63
  5. Step 5: Solve for x
    x = 212,000,331,670.63/288,219.38
  6. Step 6: Final answer
    x = 735,551.98

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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.