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Finding the Third Proportional to 365,936 and 571,036.50

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Solution

The third proportional to 365,936 and 571,036.50 is: 891,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,936 : 571,036.50 = 571,036.50 : x
  2. Step 2: Convert to fraction form
    365,936/571,036.50 = 571,036.50/x
  3. Step 3: Cross multiply
    365,936x = 571,036.50 × 571,036.50
  4. Step 4: Simplify right side
    365,936x = 326,082,684,332.25
  5. Step 5: Solve for x
    x = 326,082,684,332.25/365,936
  6. Step 6: Final answer
    x = 891,092.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.