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Finding the Third Proportional to 460,836 and 705,287

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Solution

The third proportional to 460,836 and 705,287 is: 1,079,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,836 : 705,287 = 705,287 : x
  2. Step 2: Convert to fraction form
    460,836/705,287 = 705,287/x
  3. Step 3: Cross multiply
    460,836x = 705,287 × 705,287
  4. Step 4: Simplify right side
    460,836x = 497,429,752,369
  5. Step 5: Solve for x
    x = 497,429,752,369/460,836
  6. Step 6: Final answer
    x = 1,079,407.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.