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Finding the Third Proportional to 503,118 and 683,637

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Solution

The third proportional to 503,118 and 683,637 is: 928,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,118 : 683,637 = 683,637 : x
  2. Step 2: Convert to fraction form
    503,118/683,637 = 683,637/x
  3. Step 3: Cross multiply
    503,118x = 683,637 × 683,637
  4. Step 4: Simplify right side
    503,118x = 467,359,547,769
  5. Step 5: Solve for x
    x = 467,359,547,769/503,118
  6. Step 6: Final answer
    x = 928,926.31

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.