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Finding the Third Proportional to 390,070 and 618,929

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Solution

The third proportional to 390,070 and 618,929 is: 982,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,070 : 618,929 = 618,929 : x
  2. Step 2: Convert to fraction form
    390,070/618,929 = 618,929/x
  3. Step 3: Cross multiply
    390,070x = 618,929 × 618,929
  4. Step 4: Simplify right side
    390,070x = 383,073,107,041
  5. Step 5: Solve for x
    x = 383,073,107,041/390,070
  6. Step 6: Final answer
    x = 982,062.47

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