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Finding the Third Proportional to 368,820 and 522,342

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Solution

The third proportional to 368,820 and 522,342 is: 739,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,820 : 522,342 = 522,342 : x
  2. Step 2: Convert to fraction form
    368,820/522,342 = 522,342/x
  3. Step 3: Cross multiply
    368,820x = 522,342 × 522,342
  4. Step 4: Simplify right side
    368,820x = 272,841,164,964
  5. Step 5: Solve for x
    x = 272,841,164,964/368,820
  6. Step 6: Final answer
    x = 739,767.81

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.