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Finding the Third Proportional to 524,106 and 790,506

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Solution

The third proportional to 524,106 and 790,506 is: 1,192,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,106 : 790,506 = 790,506 : x
  2. Step 2: Convert to fraction form
    524,106/790,506 = 790,506/x
  3. Step 3: Cross multiply
    524,106x = 790,506 × 790,506
  4. Step 4: Simplify right side
    524,106x = 624,899,736,036
  5. Step 5: Solve for x
    x = 624,899,736,036/524,106
  6. Step 6: Final answer
    x = 1,192,315.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.