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Finding the Third Proportional to 260,433 and 393,913.50

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Solution

The third proportional to 260,433 and 393,913.50 is: 595,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,433 : 393,913.50 = 393,913.50 : x
  2. Step 2: Convert to fraction form
    260,433/393,913.50 = 393,913.50/x
  3. Step 3: Cross multiply
    260,433x = 393,913.50 × 393,913.50
  4. Step 4: Simplify right side
    260,433x = 155,167,845,482.25
  5. Step 5: Solve for x
    x = 155,167,845,482.25/260,433
  6. Step 6: Final answer
    x = 595,807.16

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Why These Related Problems?

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