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Finding the Third Proportional to 460,479,217.50 and 708,504,104.25

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Solution

The third proportional to 460,479,217.50 and 708,504,104.25 is: 1,090,121,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,479,217.50 : 708,504,104.25 = 708,504,104.25 : x
  2. Step 2: Convert to fraction form
    460,479,217.50/708,504,104.25 = 708,504,104.25/x
  3. Step 3: Cross multiply
    460,479,217.50x = 708,504,104.25 × 708,504,104.25
  4. Step 4: Simplify right side
    460,479,217.50x = 501,978,065,739,094,848
  5. Step 5: Solve for x
    x = 501,978,065,739,094,848/460,479,217.50
  6. Step 6: Final answer
    x = 1,090,121,001.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.