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Finding the Third Proportional to 288,246 and 460,470

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Solution

The third proportional to 288,246 and 460,470 is: 735,596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,246 : 460,470 = 460,470 : x
  2. Step 2: Convert to fraction form
    288,246/460,470 = 460,470/x
  3. Step 3: Cross multiply
    288,246x = 460,470 × 460,470
  4. Step 4: Simplify right side
    288,246x = 212,032,620,900
  5. Step 5: Solve for x
    x = 212,032,620,900/288,246
  6. Step 6: Final answer
    x = 735,596.06

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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.