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Finding the Third Proportional to 362,214 and 549,342

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Solution

The third proportional to 362,214 and 549,342 is: 833,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,214 : 549,342 = 549,342 : x
  2. Step 2: Convert to fraction form
    362,214/549,342 = 549,342/x
  3. Step 3: Cross multiply
    362,214x = 549,342 × 549,342
  4. Step 4: Simplify right side
    362,214x = 301,776,632,964
  5. Step 5: Solve for x
    x = 301,776,632,964/362,214
  6. Step 6: Final answer
    x = 833,144.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.