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Finding the Third Proportional to 461,658 and 709,162

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Solution

The third proportional to 461,658 and 709,162 is: 1,089,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,658 : 709,162 = 709,162 : x
  2. Step 2: Convert to fraction form
    461,658/709,162 = 709,162/x
  3. Step 3: Cross multiply
    461,658x = 709,162 × 709,162
  4. Step 4: Simplify right side
    461,658x = 502,910,742,244
  5. Step 5: Solve for x
    x = 502,910,742,244/461,658
  6. Step 6: Final answer
    x = 1,089,357.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.