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Finding the Third Proportional to 347,458 and 522,022

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Solution

The third proportional to 347,458 and 522,022 is: 784,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,458 : 522,022 = 522,022 : x
  2. Step 2: Convert to fraction form
    347,458/522,022 = 522,022/x
  3. Step 3: Cross multiply
    347,458x = 522,022 × 522,022
  4. Step 4: Simplify right side
    347,458x = 272,506,968,484
  5. Step 5: Solve for x
    x = 272,506,968,484/347,458
  6. Step 6: Final answer
    x = 784,287.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.