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Finding the Third Proportional to 321,036 and 497,784

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Solution

The third proportional to 321,036 and 497,784 is: 771,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,036 : 497,784 = 497,784 : x
  2. Step 2: Convert to fraction form
    321,036/497,784 = 497,784/x
  3. Step 3: Cross multiply
    321,036x = 497,784 × 497,784
  4. Step 4: Simplify right side
    321,036x = 247,788,910,656
  5. Step 5: Solve for x
    x = 247,788,910,656/321,036
  6. Step 6: Final answer
    x = 771,841.51

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Why These Related Problems?

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