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Finding the Third Proportional to 611,413 and 815,437.50

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Solution

The third proportional to 611,413 and 815,437.50 is: 1,087,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,413 : 815,437.50 = 815,437.50 : x
  2. Step 2: Convert to fraction form
    611,413/815,437.50 = 815,437.50/x
  3. Step 3: Cross multiply
    611,413x = 815,437.50 × 815,437.50
  4. Step 4: Simplify right side
    611,413x = 664,938,316,406.25
  5. Step 5: Solve for x
    x = 664,938,316,406.25/611,413
  6. Step 6: Final answer
    x = 1,087,543.63

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.