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Finding the Third Proportional to 259,230 and 399,901.50

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Solution

The third proportional to 259,230 and 399,901.50 is: 616,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,230 : 399,901.50 = 399,901.50 : x
  2. Step 2: Convert to fraction form
    259,230/399,901.50 = 399,901.50/x
  3. Step 3: Cross multiply
    259,230x = 399,901.50 × 399,901.50
  4. Step 4: Simplify right side
    259,230x = 159,921,209,702.25
  5. Step 5: Solve for x
    x = 159,921,209,702.25/259,230
  6. Step 6: Final answer
    x = 616,908.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.