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Finding the Third Proportional to 476,776 and 720,022

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Solution

The third proportional to 476,776 and 720,022 is: 1,087,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,776 : 720,022 = 720,022 : x
  2. Step 2: Convert to fraction form
    476,776/720,022 = 720,022/x
  3. Step 3: Cross multiply
    476,776x = 720,022 × 720,022
  4. Step 4: Simplify right side
    476,776x = 518,431,680,484
  5. Step 5: Solve for x
    x = 518,431,680,484/476,776
  6. Step 6: Final answer
    x = 1,087,369.50

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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.