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Finding the Third Proportional to 390,532 and 846,188

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Solution

The third proportional to 390,532 and 846,188 is: 1,833,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,532 : 846,188 = 846,188 : x
  2. Step 2: Convert to fraction form
    390,532/846,188 = 846,188/x
  3. Step 3: Cross multiply
    390,532x = 846,188 × 846,188
  4. Step 4: Simplify right side
    390,532x = 716,034,131,344
  5. Step 5: Solve for x
    x = 716,034,131,344/390,532
  6. Step 6: Final answer
    x = 1,833,483.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.