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Finding the Third Proportional to 437,076 and 675,022

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Solution

The third proportional to 437,076 and 675,022 is: 1,042,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,076 : 675,022 = 675,022 : x
  2. Step 2: Convert to fraction form
    437,076/675,022 = 675,022/x
  3. Step 3: Cross multiply
    437,076x = 675,022 × 675,022
  4. Step 4: Simplify right side
    437,076x = 455,654,700,484
  5. Step 5: Solve for x
    x = 455,654,700,484/437,076
  6. Step 6: Final answer
    x = 1,042,506.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.