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Finding the Third Proportional to 328,541 and 712,852

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Solution

The third proportional to 328,541 and 712,852 is: 1,546,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,541 : 712,852 = 712,852 : x
  2. Step 2: Convert to fraction form
    328,541/712,852 = 712,852/x
  3. Step 3: Cross multiply
    328,541x = 712,852 × 712,852
  4. Step 4: Simplify right side
    328,541x = 508,157,973,904
  5. Step 5: Solve for x
    x = 508,157,973,904/328,541
  6. Step 6: Final answer
    x = 1,546,710.99

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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.