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Finding the Third Proportional to 269,006 and 429,752

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Solution

The third proportional to 269,006 and 429,752 is: 686,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,006 : 429,752 = 429,752 : x
  2. Step 2: Convert to fraction form
    269,006/429,752 = 429,752/x
  3. Step 3: Cross multiply
    269,006x = 429,752 × 429,752
  4. Step 4: Simplify right side
    269,006x = 184,686,781,504
  5. Step 5: Solve for x
    x = 184,686,781,504/269,006
  6. Step 6: Final answer
    x = 686,552.65

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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.