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Finding the Third Proportional to 476,073 and 652,807

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Solution

The third proportional to 476,073 and 652,807 is: 895,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,073 : 652,807 = 652,807 : x
  2. Step 2: Convert to fraction form
    476,073/652,807 = 652,807/x
  3. Step 3: Cross multiply
    476,073x = 652,807 × 652,807
  4. Step 4: Simplify right side
    476,073x = 426,156,979,249
  5. Step 5: Solve for x
    x = 426,156,979,249/476,073
  6. Step 6: Final answer
    x = 895,150.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.