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Finding the Third Proportional to 306,051 and 648,471

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Solution

The third proportional to 306,051 and 648,471 is: 1,374,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,051 : 648,471 = 648,471 : x
  2. Step 2: Convert to fraction form
    306,051/648,471 = 648,471/x
  3. Step 3: Cross multiply
    306,051x = 648,471 × 648,471
  4. Step 4: Simplify right side
    306,051x = 420,514,637,841
  5. Step 5: Solve for x
    x = 420,514,637,841/306,051
  6. Step 6: Final answer
    x = 1,374,001.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.