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Finding the Third Proportional to 272,110 and 429,033

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Solution

The third proportional to 272,110 and 429,033 is: 676,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,110 : 429,033 = 429,033 : x
  2. Step 2: Convert to fraction form
    272,110/429,033 = 429,033/x
  3. Step 3: Cross multiply
    272,110x = 429,033 × 429,033
  4. Step 4: Simplify right side
    272,110x = 184,069,315,089
  5. Step 5: Solve for x
    x = 184,069,315,089/272,110
  6. Step 6: Final answer
    x = 676,451.86

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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.