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Finding the Third Proportional to 415,532 and 554,583

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Solution

The third proportional to 415,532 and 554,583 is: 740,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,532 : 554,583 = 554,583 : x
  2. Step 2: Convert to fraction form
    415,532/554,583 = 554,583/x
  3. Step 3: Cross multiply
    415,532x = 554,583 × 554,583
  4. Step 4: Simplify right side
    415,532x = 307,562,303,889
  5. Step 5: Solve for x
    x = 307,562,303,889/415,532
  6. Step 6: Final answer
    x = 740,165.15

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.