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Finding the Third Proportional to 461,736 and 709,248

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Solution

The third proportional to 461,736 and 709,248 is: 1,089,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,736 : 709,248 = 709,248 : x
  2. Step 2: Convert to fraction form
    461,736/709,248 = 709,248/x
  3. Step 3: Cross multiply
    461,736x = 709,248 × 709,248
  4. Step 4: Simplify right side
    461,736x = 503,032,725,504
  5. Step 5: Solve for x
    x = 503,032,725,504/461,736
  6. Step 6: Final answer
    x = 1,089,437.96

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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.