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Finding the Third Proportional to 457,941.38 and 700,511.06

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Solution

The third proportional to 457,941.38 and 700,511.06 is: 1,071,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,941.38 : 700,511.06 = 700,511.06 : x
  2. Step 2: Convert to fraction form
    457,941.38/700,511.06 = 700,511.06/x
  3. Step 3: Cross multiply
    457,941.38x = 700,511.06 × 700,511.06
  4. Step 4: Simplify right side
    457,941.38x = 490,715,748,684.88
  5. Step 5: Solve for x
    x = 490,715,748,684.88/457,941.38
  6. Step 6: Final answer
    x = 1,071,568.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.