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Finding the Third Proportional to 418,309 and 646,357.50

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Solution

The third proportional to 418,309 and 646,357.50 is: 998,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,309 : 646,357.50 = 646,357.50 : x
  2. Step 2: Convert to fraction form
    418,309/646,357.50 = 646,357.50/x
  3. Step 3: Cross multiply
    418,309x = 646,357.50 × 646,357.50
  4. Step 4: Simplify right side
    418,309x = 417,778,017,806.25
  5. Step 5: Solve for x
    x = 417,778,017,806.25/418,309
  6. Step 6: Final answer
    x = 998,730.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.