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Finding the Third Proportional to 272,097 and 429,011

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Solution

The third proportional to 272,097 and 429,011 is: 676,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,097 : 429,011 = 429,011 : x
  2. Step 2: Convert to fraction form
    272,097/429,011 = 429,011/x
  3. Step 3: Cross multiply
    272,097x = 429,011 × 429,011
  4. Step 4: Simplify right side
    272,097x = 184,050,438,121
  5. Step 5: Solve for x
    x = 184,050,438,121/272,097
  6. Step 6: Final answer
    x = 676,414.80

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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.