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Finding the Third Proportional to 423,544.50 and 621,188.25

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Solution

The third proportional to 423,544.50 and 621,188.25 is: 911,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,544.50 : 621,188.25 = 621,188.25 : x
  2. Step 2: Convert to fraction form
    423,544.50/621,188.25 = 621,188.25/x
  3. Step 3: Cross multiply
    423,544.50x = 621,188.25 × 621,188.25
  4. Step 4: Simplify right side
    423,544.50x = 385,874,841,938.06
  5. Step 5: Solve for x
    x = 385,874,841,938.06/423,544.50
  6. Step 6: Final answer
    x = 911,060.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.