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Finding the Third Proportional to 465,969 and 736,505.25

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Solution

The third proportional to 465,969 and 736,505.25 is: 1,164,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,969 : 736,505.25 = 736,505.25 : x
  2. Step 2: Convert to fraction form
    465,969/736,505.25 = 736,505.25/x
  3. Step 3: Cross multiply
    465,969x = 736,505.25 × 736,505.25
  4. Step 4: Simplify right side
    465,969x = 542,439,983,277.56
  5. Step 5: Solve for x
    x = 542,439,983,277.56/465,969
  6. Step 6: Final answer
    x = 1,164,111.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.