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Finding the Third Proportional to 264,407.63 and 402,807.94

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Solution

The third proportional to 264,407.63 and 402,807.94 is: 613,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,407.63 : 402,807.94 = 402,807.94 : x
  2. Step 2: Convert to fraction form
    264,407.63/402,807.94 = 402,807.94/x
  3. Step 3: Cross multiply
    264,407.63x = 402,807.94 × 402,807.94
  4. Step 4: Simplify right side
    264,407.63x = 162,254,234,513.00
  5. Step 5: Solve for x
    x = 162,254,234,513.00/264,407.63
  6. Step 6: Final answer
    x = 613,651.87

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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.