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Finding the Third Proportional to 553,812.19 and 829,795.64

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Solution

The third proportional to 553,812.19 and 829,795.64 is: 1,243,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,812.19 : 829,795.64 = 829,795.64 : x
  2. Step 2: Convert to fraction form
    553,812.19/829,795.64 = 829,795.64/x
  3. Step 3: Cross multiply
    553,812.19x = 829,795.64 × 829,795.64
  4. Step 4: Simplify right side
    553,812.19x = 688,560,805,200.25
  5. Step 5: Solve for x
    x = 688,560,805,200.25/553,812.19
  6. Step 6: Final answer
    x = 1,243,311.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.