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Finding the Third Proportional to 476,565 and 726,029

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Solution

The third proportional to 476,565 and 726,029 is: 1,106,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,565 : 726,029 = 726,029 : x
  2. Step 2: Convert to fraction form
    476,565/726,029 = 726,029/x
  3. Step 3: Cross multiply
    476,565x = 726,029 × 726,029
  4. Step 4: Simplify right side
    476,565x = 527,118,108,841
  5. Step 5: Solve for x
    x = 527,118,108,841/476,565
  6. Step 6: Final answer
    x = 1,106,078.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.