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Finding the Third Proportional to 364,719 and 758,430

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Solution

The third proportional to 364,719 and 758,430 is: 1,577,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,719 : 758,430 = 758,430 : x
  2. Step 2: Convert to fraction form
    364,719/758,430 = 758,430/x
  3. Step 3: Cross multiply
    364,719x = 758,430 × 758,430
  4. Step 4: Simplify right side
    364,719x = 575,216,064,900
  5. Step 5: Solve for x
    x = 575,216,064,900/364,719
  6. Step 6: Final answer
    x = 1,577,148.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.