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Finding the Third Proportional to 499,473 and 794,425.50

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Solution

The third proportional to 499,473 and 794,425.50 is: 1,263,555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,473 : 794,425.50 = 794,425.50 : x
  2. Step 2: Convert to fraction form
    499,473/794,425.50 = 794,425.50/x
  3. Step 3: Cross multiply
    499,473x = 794,425.50 × 794,425.50
  4. Step 4: Simplify right side
    499,473x = 631,111,875,050.25
  5. Step 5: Solve for x
    x = 631,111,875,050.25/499,473
  6. Step 6: Final answer
    x = 1,263,555.54

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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.