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Finding the Third Proportional to 362,556 and 785,376

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Solution

The third proportional to 362,556 and 785,376 is: 1,701,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,556 : 785,376 = 785,376 : x
  2. Step 2: Convert to fraction form
    362,556/785,376 = 785,376/x
  3. Step 3: Cross multiply
    362,556x = 785,376 × 785,376
  4. Step 4: Simplify right side
    362,556x = 616,815,461,376
  5. Step 5: Solve for x
    x = 616,815,461,376/362,556
  6. Step 6: Final answer
    x = 1,701,297.07

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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.