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Finding the Third Proportional to 554,835 and 838,084.50

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Solution

The third proportional to 554,835 and 838,084.50 is: 1,265,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,835 : 838,084.50 = 838,084.50 : x
  2. Step 2: Convert to fraction form
    554,835/838,084.50 = 838,084.50/x
  3. Step 3: Cross multiply
    554,835x = 838,084.50 × 838,084.50
  4. Step 4: Simplify right side
    554,835x = 702,385,629,140.25
  5. Step 5: Solve for x
    x = 702,385,629,140.25/554,835
  6. Step 6: Final answer
    x = 1,265,936.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.