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Finding the Third Proportional to 287,230 and 402,490

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Solution

The third proportional to 287,230 and 402,490 is: 564,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,230 : 402,490 = 402,490 : x
  2. Step 2: Convert to fraction form
    287,230/402,490 = 402,490/x
  3. Step 3: Cross multiply
    287,230x = 402,490 × 402,490
  4. Step 4: Simplify right side
    287,230x = 161,998,200,100
  5. Step 5: Solve for x
    x = 161,998,200,100/287,230
  6. Step 6: Final answer
    x = 564,001.67

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.