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Finding the Third Proportional to 461,700 and 709,195.50

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Solution

The third proportional to 461,700 and 709,195.50 is: 1,089,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,700 : 709,195.50 = 709,195.50 : x
  2. Step 2: Convert to fraction form
    461,700/709,195.50 = 709,195.50/x
  3. Step 3: Cross multiply
    461,700x = 709,195.50 × 709,195.50
  4. Step 4: Simplify right side
    461,700x = 502,958,257,220.25
  5. Step 5: Solve for x
    x = 502,958,257,220.25/461,700
  6. Step 6: Final answer
    x = 1,089,361.61

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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.