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Finding the Third Proportional to 362,808 and 563,160

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Solution

The third proportional to 362,808 and 563,160 is: 874,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,808 : 563,160 = 563,160 : x
  2. Step 2: Convert to fraction form
    362,808/563,160 = 563,160/x
  3. Step 3: Cross multiply
    362,808x = 563,160 × 563,160
  4. Step 4: Simplify right side
    362,808x = 317,149,185,600
  5. Step 5: Solve for x
    x = 317,149,185,600/362,808
  6. Step 6: Final answer
    x = 874,151.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.