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Finding the Third Proportional to 362,610 and 785,484

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Solution

The third proportional to 362,610 and 785,484 is: 1,701,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,610 : 785,484 = 785,484 : x
  2. Step 2: Convert to fraction form
    362,610/785,484 = 785,484/x
  3. Step 3: Cross multiply
    362,610x = 785,484 × 785,484
  4. Step 4: Simplify right side
    362,610x = 616,985,114,256
  5. Step 5: Solve for x
    x = 616,985,114,256/362,610
  6. Step 6: Final answer
    x = 1,701,511.58

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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.