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Finding the Third Proportional to 572,189 and 840,765.50

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Solution

The third proportional to 572,189 and 840,765.50 is: 1,235,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,189 : 840,765.50 = 840,765.50 : x
  2. Step 2: Convert to fraction form
    572,189/840,765.50 = 840,765.50/x
  3. Step 3: Cross multiply
    572,189x = 840,765.50 × 840,765.50
  4. Step 4: Simplify right side
    572,189x = 706,886,625,990.25
  5. Step 5: Solve for x
    x = 706,886,625,990.25/572,189
  6. Step 6: Final answer
    x = 1,235,407.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.