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Finding the Third Proportional to 472,771.50 and 709,641

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Solution

The third proportional to 472,771.50 and 709,641 is: 1,065,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,771.50 : 709,641 = 709,641 : x
  2. Step 2: Convert to fraction form
    472,771.50/709,641 = 709,641/x
  3. Step 3: Cross multiply
    472,771.50x = 709,641 × 709,641
  4. Step 4: Simplify right side
    472,771.50x = 503,590,348,881
  5. Step 5: Solve for x
    x = 503,590,348,881/472,771.50
  6. Step 6: Final answer
    x = 1,065,187.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.