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Finding the Third Proportional to 367,506 and 758,628

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Solution

The third proportional to 367,506 and 758,628 is: 1,566,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,506 : 758,628 = 758,628 : x
  2. Step 2: Convert to fraction form
    367,506/758,628 = 758,628/x
  3. Step 3: Cross multiply
    367,506x = 758,628 × 758,628
  4. Step 4: Simplify right side
    367,506x = 575,516,442,384
  5. Step 5: Solve for x
    x = 575,516,442,384/367,506
  6. Step 6: Final answer
    x = 1,566,005.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.