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Finding the Third Proportional to 476,773 and 720,020

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Solution

The third proportional to 476,773 and 720,020 is: 1,087,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,773 : 720,020 = 720,020 : x
  2. Step 2: Convert to fraction form
    476,773/720,020 = 720,020/x
  3. Step 3: Cross multiply
    476,773x = 720,020 × 720,020
  4. Step 4: Simplify right side
    476,773x = 518,428,800,400
  5. Step 5: Solve for x
    x = 518,428,800,400/476,773
  6. Step 6: Final answer
    x = 1,087,370.30

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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.