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Finding the Third Proportional to 287,220.50 and 402,486

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Solution

The third proportional to 287,220.50 and 402,486 is: 564,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,220.50 : 402,486 = 402,486 : x
  2. Step 2: Convert to fraction form
    287,220.50/402,486 = 402,486/x
  3. Step 3: Cross multiply
    287,220.50x = 402,486 × 402,486
  4. Step 4: Simplify right side
    287,220.50x = 161,994,980,196
  5. Step 5: Solve for x
    x = 161,994,980,196/287,220.50
  6. Step 6: Final answer
    x = 564,009.12

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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.