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Finding the Third Proportional to 476,782 and 720,032

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Solution

The third proportional to 476,782 and 720,032 is: 1,087,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,782 : 720,032 = 720,032 : x
  2. Step 2: Convert to fraction form
    476,782/720,032 = 720,032/x
  3. Step 3: Cross multiply
    476,782x = 720,032 × 720,032
  4. Step 4: Simplify right side
    476,782x = 518,446,081,024
  5. Step 5: Solve for x
    x = 518,446,081,024/476,782
  6. Step 6: Final answer
    x = 1,087,386.02

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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.