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Finding the Third Proportional to 362,603 and 785,470

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Solution

The third proportional to 362,603 and 785,470 is: 1,701,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,603 : 785,470 = 785,470 : x
  2. Step 2: Convert to fraction form
    362,603/785,470 = 785,470/x
  3. Step 3: Cross multiply
    362,603x = 785,470 × 785,470
  4. Step 4: Simplify right side
    362,603x = 616,963,120,900
  5. Step 5: Solve for x
    x = 616,963,120,900/362,603
  6. Step 6: Final answer
    x = 1,701,483.77

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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.