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Finding the Third Proportional to 416,259 and 891,580.50

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Solution

The third proportional to 416,259 and 891,580.50 is: 1,909,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,259 : 891,580.50 = 891,580.50 : x
  2. Step 2: Convert to fraction form
    416,259/891,580.50 = 891,580.50/x
  3. Step 3: Cross multiply
    416,259x = 891,580.50 × 891,580.50
  4. Step 4: Simplify right side
    416,259x = 794,915,787,980.25
  5. Step 5: Solve for x
    x = 794,915,787,980.25/416,259
  6. Step 6: Final answer
    x = 1,909,666.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.