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Finding the Third Proportional to 465,076.69 and 658,271.81

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Solution

The third proportional to 465,076.69 and 658,271.81 is: 931,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,076.69 : 658,271.81 = 658,271.81 : x
  2. Step 2: Convert to fraction form
    465,076.69/658,271.81 = 658,271.81/x
  3. Step 3: Cross multiply
    465,076.69x = 658,271.81 × 658,271.81
  4. Step 4: Simplify right side
    465,076.69x = 433,321,779,132.04
  5. Step 5: Solve for x
    x = 433,321,779,132.04/465,076.69
  6. Step 6: Final answer
    x = 931,721.13

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.