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Finding the Third Proportional to 298,629 and 647,069.50

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Solution

The third proportional to 298,629 and 647,069.50 is: 1,402,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,629 : 647,069.50 = 647,069.50 : x
  2. Step 2: Convert to fraction form
    298,629/647,069.50 = 647,069.50/x
  3. Step 3: Cross multiply
    298,629x = 647,069.50 × 647,069.50
  4. Step 4: Simplify right side
    298,629x = 418,698,937,830.25
  5. Step 5: Solve for x
    x = 418,698,937,830.25/298,629
  6. Step 6: Final answer
    x = 1,402,070.59

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