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Finding the Third Proportional to 468,149 and 707,143

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Solution

The third proportional to 468,149 and 707,143 is: 1,068,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,149 : 707,143 = 707,143 : x
  2. Step 2: Convert to fraction form
    468,149/707,143 = 707,143/x
  3. Step 3: Cross multiply
    468,149x = 707,143 × 707,143
  4. Step 4: Simplify right side
    468,149x = 500,051,222,449
  5. Step 5: Solve for x
    x = 500,051,222,449/468,149
  6. Step 6: Final answer
    x = 1,068,145.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.