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Finding the Third Proportional to 628,542 and 973,049

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Solution

The third proportional to 628,542 and 973,049 is: 1,506,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,542 : 973,049 = 973,049 : x
  2. Step 2: Convert to fraction form
    628,542/973,049 = 973,049/x
  3. Step 3: Cross multiply
    628,542x = 973,049 × 973,049
  4. Step 4: Simplify right side
    628,542x = 946,824,356,401
  5. Step 5: Solve for x
    x = 946,824,356,401/628,542
  6. Step 6: Final answer
    x = 1,506,382.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.