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Finding the Third Proportional to 460,417.50 and 942,975

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Solution

The third proportional to 460,417.50 and 942,975 is: 1,931,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,417.50 : 942,975 = 942,975 : x
  2. Step 2: Convert to fraction form
    460,417.50/942,975 = 942,975/x
  3. Step 3: Cross multiply
    460,417.50x = 942,975 × 942,975
  4. Step 4: Simplify right side
    460,417.50x = 889,201,850,625
  5. Step 5: Solve for x
    x = 889,201,850,625/460,417.50
  6. Step 6: Final answer
    x = 1,931,294.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.