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Finding the Third Proportional to 316,075.50 and 698,625

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Solution

The third proportional to 316,075.50 and 698,625 is: 1,544,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,075.50 : 698,625 = 698,625 : x
  2. Step 2: Convert to fraction form
    316,075.50/698,625 = 698,625/x
  3. Step 3: Cross multiply
    316,075.50x = 698,625 × 698,625
  4. Step 4: Simplify right side
    316,075.50x = 488,076,890,625
  5. Step 5: Solve for x
    x = 488,076,890,625/316,075.50
  6. Step 6: Final answer
    x = 1,544,178.18

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.