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Finding the Third Proportional to 362,604 and 785,472

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Solution

The third proportional to 362,604 and 785,472 is: 1,701,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,604 : 785,472 = 785,472 : x
  2. Step 2: Convert to fraction form
    362,604/785,472 = 785,472/x
  3. Step 3: Cross multiply
    362,604x = 785,472 × 785,472
  4. Step 4: Simplify right side
    362,604x = 616,966,262,784
  5. Step 5: Solve for x
    x = 616,966,262,784/362,604
  6. Step 6: Final answer
    x = 1,701,487.75

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Why These Related Problems?

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