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Finding the Third Proportional to 272,094 and 429,006

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Solution

The third proportional to 272,094 and 429,006 is: 676,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,094 : 429,006 = 429,006 : x
  2. Step 2: Convert to fraction form
    272,094/429,006 = 429,006/x
  3. Step 3: Cross multiply
    272,094x = 429,006 × 429,006
  4. Step 4: Simplify right side
    272,094x = 184,046,148,036
  5. Step 5: Solve for x
    x = 184,046,148,036/272,094
  6. Step 6: Final answer
    x = 676,406.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.