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Finding the Third Proportional to 460,741.50 and 687,558

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Solution

The third proportional to 460,741.50 and 687,558 is: 1,026,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,741.50 : 687,558 = 687,558 : x
  2. Step 2: Convert to fraction form
    460,741.50/687,558 = 687,558/x
  3. Step 3: Cross multiply
    460,741.50x = 687,558 × 687,558
  4. Step 4: Simplify right side
    460,741.50x = 472,736,003,364
  5. Step 5: Solve for x
    x = 472,736,003,364/460,741.50
  6. Step 6: Final answer
    x = 1,026,033.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.