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Finding the Third Proportional to 468,026 and 668,814

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Solution

The third proportional to 468,026 and 668,814 is: 955,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,026 : 668,814 = 668,814 : x
  2. Step 2: Convert to fraction form
    468,026/668,814 = 668,814/x
  3. Step 3: Cross multiply
    468,026x = 668,814 × 668,814
  4. Step 4: Simplify right side
    468,026x = 447,312,166,596
  5. Step 5: Solve for x
    x = 447,312,166,596/468,026
  6. Step 6: Final answer
    x = 955,742.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.