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Finding the Third Proportional to 494,822.25 and 818,869.50

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Solution

The third proportional to 494,822.25 and 818,869.50 is: 1,355,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,822.25 : 818,869.50 = 818,869.50 : x
  2. Step 2: Convert to fraction form
    494,822.25/818,869.50 = 818,869.50/x
  3. Step 3: Cross multiply
    494,822.25x = 818,869.50 × 818,869.50
  4. Step 4: Simplify right side
    494,822.25x = 670,547,258,030.25
  5. Step 5: Solve for x
    x = 670,547,258,030.25/494,822.25
  6. Step 6: Final answer
    x = 1,355,127.54

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.