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Finding the Third Proportional to 288,242 and 460,464

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Solution

The third proportional to 288,242 and 460,464 is: 735,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,242 : 460,464 = 460,464 : x
  2. Step 2: Convert to fraction form
    288,242/460,464 = 460,464/x
  3. Step 3: Cross multiply
    288,242x = 460,464 × 460,464
  4. Step 4: Simplify right side
    288,242x = 212,027,095,296
  5. Step 5: Solve for x
    x = 212,027,095,296/288,242
  6. Step 6: Final answer
    x = 735,587.09

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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.