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Finding the Third Proportional to 628,544 and 973,052

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Solution

The third proportional to 628,544 and 973,052 is: 1,506,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,544 : 973,052 = 973,052 : x
  2. Step 2: Convert to fraction form
    628,544/973,052 = 973,052/x
  3. Step 3: Cross multiply
    628,544x = 973,052 × 973,052
  4. Step 4: Simplify right side
    628,544x = 946,830,194,704
  5. Step 5: Solve for x
    x = 946,830,194,704/628,544
  6. Step 6: Final answer
    x = 1,506,386.50

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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.