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Finding the Third Proportional to 367,091 and 538,506

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Solution

The third proportional to 367,091 and 538,506 is: 789,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,091 : 538,506 = 538,506 : x
  2. Step 2: Convert to fraction form
    367,091/538,506 = 538,506/x
  3. Step 3: Cross multiply
    367,091x = 538,506 × 538,506
  4. Step 4: Simplify right side
    367,091x = 289,988,712,036
  5. Step 5: Solve for x
    x = 289,988,712,036/367,091
  6. Step 6: Final answer
    x = 789,964.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.