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Finding the Third Proportional to 628,561 and 973,075

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Solution

The third proportional to 628,561 and 973,075 is: 1,506,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,561 : 973,075 = 973,075 : x
  2. Step 2: Convert to fraction form
    628,561/973,075 = 973,075/x
  3. Step 3: Cross multiply
    628,561x = 973,075 × 973,075
  4. Step 4: Simplify right side
    628,561x = 946,874,955,625
  5. Step 5: Solve for x
    x = 946,874,955,625/628,561
  6. Step 6: Final answer
    x = 1,506,416.97

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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.