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Finding the Third Proportional to 382,461.75 and 562,558.50

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Solution

The third proportional to 382,461.75 and 562,558.50 is: 827,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,461.75 : 562,558.50 = 562,558.50 : x
  2. Step 2: Convert to fraction form
    382,461.75/562,558.50 = 562,558.50/x
  3. Step 3: Cross multiply
    382,461.75x = 562,558.50 × 562,558.50
  4. Step 4: Simplify right side
    382,461.75x = 316,472,065,922.25
  5. Step 5: Solve for x
    x = 316,472,065,922.25/382,461.75
  6. Step 6: Final answer
    x = 827,460.70

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