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Finding the Third Proportional to 504,518.63 and 679,692.94

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Solution

The third proportional to 504,518.63 and 679,692.94 is: 915,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,518.63 : 679,692.94 = 679,692.94 : x
  2. Step 2: Convert to fraction form
    504,518.63/679,692.94 = 679,692.94/x
  3. Step 3: Cross multiply
    504,518.63x = 679,692.94 × 679,692.94
  4. Step 4: Simplify right side
    504,518.63x = 461,982,489,287.38
  5. Step 5: Solve for x
    x = 461,982,489,287.38/504,518.63
  6. Step 6: Final answer
    x = 915,689.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.