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Finding the Third Proportional to 390,071 and 620,634

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Solution

The third proportional to 390,071 and 620,634 is: 987,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,071 : 620,634 = 620,634 : x
  2. Step 2: Convert to fraction form
    390,071/620,634 = 620,634/x
  3. Step 3: Cross multiply
    390,071x = 620,634 × 620,634
  4. Step 4: Simplify right side
    390,071x = 385,186,561,956
  5. Step 5: Solve for x
    x = 385,186,561,956/390,071
  6. Step 6: Final answer
    x = 987,478.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.