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Finding the Third Proportional to 262,988 and 385,202

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Solution

The third proportional to 262,988 and 385,202 is: 564,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,988 : 385,202 = 385,202 : x
  2. Step 2: Convert to fraction form
    262,988/385,202 = 385,202/x
  3. Step 3: Cross multiply
    262,988x = 385,202 × 385,202
  4. Step 4: Simplify right side
    262,988x = 148,380,580,804
  5. Step 5: Solve for x
    x = 148,380,580,804/262,988
  6. Step 6: Final answer
    x = 564,210.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.