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Finding the Third Proportional to 476,782 and 720,033

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Solution

The third proportional to 476,782 and 720,033 is: 1,087,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,782 : 720,033 = 720,033 : x
  2. Step 2: Convert to fraction form
    476,782/720,033 = 720,033/x
  3. Step 3: Cross multiply
    476,782x = 720,033 × 720,033
  4. Step 4: Simplify right side
    476,782x = 518,447,521,089
  5. Step 5: Solve for x
    x = 518,447,521,089/476,782
  6. Step 6: Final answer
    x = 1,087,389.04

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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.