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Finding the Third Proportional to 288,216 and 460,430

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Solution

The third proportional to 288,216 and 460,430 is: 735,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,216 : 460,430 = 460,430 : x
  2. Step 2: Convert to fraction form
    288,216/460,430 = 460,430/x
  3. Step 3: Cross multiply
    288,216x = 460,430 × 460,430
  4. Step 4: Simplify right side
    288,216x = 211,995,784,900
  5. Step 5: Solve for x
    x = 211,995,784,900/288,216
  6. Step 6: Final answer
    x = 735,544.82

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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.