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Finding the Third Proportional to 415,919 and 621,106

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Solution

The third proportional to 415,919 and 621,106 is: 927,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,919 : 621,106 = 621,106 : x
  2. Step 2: Convert to fraction form
    415,919/621,106 = 621,106/x
  3. Step 3: Cross multiply
    415,919x = 621,106 × 621,106
  4. Step 4: Simplify right side
    415,919x = 385,772,663,236
  5. Step 5: Solve for x
    x = 385,772,663,236/415,919
  6. Step 6: Final answer
    x = 927,518.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.