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Finding the Third Proportional to 346,600 and 744,784

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Solution

The third proportional to 346,600 and 744,784 is: 1,600,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,600 : 744,784 = 744,784 : x
  2. Step 2: Convert to fraction form
    346,600/744,784 = 744,784/x
  3. Step 3: Cross multiply
    346,600x = 744,784 × 744,784
  4. Step 4: Simplify right side
    346,600x = 554,703,206,656
  5. Step 5: Solve for x
    x = 554,703,206,656/346,600
  6. Step 6: Final answer
    x = 1,600,413.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.