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Finding the Third Proportional to 451,356 and 714,025

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Solution

The third proportional to 451,356 and 714,025 is: 1,129,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,356 : 714,025 = 714,025 : x
  2. Step 2: Convert to fraction form
    451,356/714,025 = 714,025/x
  3. Step 3: Cross multiply
    451,356x = 714,025 × 714,025
  4. Step 4: Simplify right side
    451,356x = 509,831,700,625
  5. Step 5: Solve for x
    x = 509,831,700,625/451,356
  6. Step 6: Final answer
    x = 1,129,555.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.