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Finding the Third Proportional to 674,416.13 and 983,329.88

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Solution

The third proportional to 674,416.13 and 983,329.88 is: 1,433,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,416.13 : 983,329.88 = 983,329.88 : x
  2. Step 2: Convert to fraction form
    674,416.13/983,329.88 = 983,329.88/x
  3. Step 3: Cross multiply
    674,416.13x = 983,329.88 × 983,329.88
  4. Step 4: Simplify right side
    674,416.13x = 966,937,643,067.52
  5. Step 5: Solve for x
    x = 966,937,643,067.52/674,416.13
  6. Step 6: Final answer
    x = 1,433,740.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.