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Finding the Third Proportional to 362,412 and 785,304

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Solution

The third proportional to 362,412 and 785,304 is: 1,701,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,412 : 785,304 = 785,304 : x
  2. Step 2: Convert to fraction form
    362,412/785,304 = 785,304/x
  3. Step 3: Cross multiply
    362,412x = 785,304 × 785,304
  4. Step 4: Simplify right side
    362,412x = 616,702,372,416
  5. Step 5: Solve for x
    x = 616,702,372,416/362,412
  6. Step 6: Final answer
    x = 1,701,661.02

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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.