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Finding the Third Proportional to 503,022 and 761,037

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Solution

The third proportional to 503,022 and 761,037 is: 1,151,395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,022 : 761,037 = 761,037 : x
  2. Step 2: Convert to fraction form
    503,022/761,037 = 761,037/x
  3. Step 3: Cross multiply
    503,022x = 761,037 × 761,037
  4. Step 4: Simplify right side
    503,022x = 579,177,315,369
  5. Step 5: Solve for x
    x = 579,177,315,369/503,022
  6. Step 6: Final answer
    x = 1,151,395.60

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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.