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Finding the Third Proportional to 235,056.50 and 507,517.50

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Solution

The third proportional to 235,056.50 and 507,517.50 is: 1,095,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,056.50 : 507,517.50 = 507,517.50 : x
  2. Step 2: Convert to fraction form
    235,056.50/507,517.50 = 507,517.50/x
  3. Step 3: Cross multiply
    235,056.50x = 507,517.50 × 507,517.50
  4. Step 4: Simplify right side
    235,056.50x = 257,574,012,806.25
  5. Step 5: Solve for x
    x = 257,574,012,806.25/235,056.50
  6. Step 6: Final answer
    x = 1,095,796.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.