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Finding the Third Proportional to 264,509 and 402,299.50

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Solution

The third proportional to 264,509 and 402,299.50 is: 611,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,509 : 402,299.50 = 402,299.50 : x
  2. Step 2: Convert to fraction form
    264,509/402,299.50 = 402,299.50/x
  3. Step 3: Cross multiply
    264,509x = 402,299.50 × 402,299.50
  4. Step 4: Simplify right side
    264,509x = 161,844,887,700.25
  5. Step 5: Solve for x
    x = 161,844,887,700.25/264,509
  6. Step 6: Final answer
    x = 611,869.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.