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Finding the Third Proportional to 500,046 and 794,359.50

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Solution

The third proportional to 500,046 and 794,359.50 is: 1,261,897.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,046 : 794,359.50 = 794,359.50 : x
  2. Step 2: Convert to fraction form
    500,046/794,359.50 = 794,359.50/x
  3. Step 3: Cross multiply
    500,046x = 794,359.50 × 794,359.50
  4. Step 4: Simplify right side
    500,046x = 631,007,015,240.25
  5. Step 5: Solve for x
    x = 631,007,015,240.25/500,046
  6. Step 6: Final answer
    x = 1,261,897.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.