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Finding the Third Proportional to 535,908 and 829,426.50

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Solution

The third proportional to 535,908 and 829,426.50 is: 1,283,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,908 : 829,426.50 = 829,426.50 : x
  2. Step 2: Convert to fraction form
    535,908/829,426.50 = 829,426.50/x
  3. Step 3: Cross multiply
    535,908x = 829,426.50 × 829,426.50
  4. Step 4: Simplify right side
    535,908x = 687,948,318,902.25
  5. Step 5: Solve for x
    x = 687,948,318,902.25/535,908
  6. Step 6: Final answer
    x = 1,283,706.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.