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Finding the Third Proportional to 711,355.50 and 1,084,765.50

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Solution

The third proportional to 711,355.50 and 1,084,765.50 is: 1,654,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,355.50 : 1,084,765.50 = 1,084,765.50 : x
  2. Step 2: Convert to fraction form
    711,355.50/1,084,765.50 = 1,084,765.50/x
  3. Step 3: Cross multiply
    711,355.50x = 1,084,765.50 × 1,084,765.50
  4. Step 4: Simplify right side
    711,355.50x = 1,176,716,189,990.25
  5. Step 5: Solve for x
    x = 1,176,716,189,990.25/711,355.50
  6. Step 6: Final answer
    x = 1,654,188.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.