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Finding the Third Proportional to 515,311 and 712,047

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Solution

The third proportional to 515,311 and 712,047 is: 983,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,311 : 712,047 = 712,047 : x
  2. Step 2: Convert to fraction form
    515,311/712,047 = 712,047/x
  3. Step 3: Cross multiply
    515,311x = 712,047 × 712,047
  4. Step 4: Simplify right side
    515,311x = 507,010,930,209
  5. Step 5: Solve for x
    x = 507,010,930,209/515,311
  6. Step 6: Final answer
    x = 983,893.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.