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Finding the Third Proportional to 461,738 and 709,252

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Solution

The third proportional to 461,738 and 709,252 is: 1,089,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,738 : 709,252 = 709,252 : x
  2. Step 2: Convert to fraction form
    461,738/709,252 = 709,252/x
  3. Step 3: Cross multiply
    461,738x = 709,252 × 709,252
  4. Step 4: Simplify right side
    461,738x = 503,038,399,504
  5. Step 5: Solve for x
    x = 503,038,399,504/461,738
  6. Step 6: Final answer
    x = 1,089,445.53

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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.