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Finding the Third Proportional to 401,787 and 607,864.50

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Solution

The third proportional to 401,787 and 607,864.50 is: 919,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,787 : 607,864.50 = 607,864.50 : x
  2. Step 2: Convert to fraction form
    401,787/607,864.50 = 607,864.50/x
  3. Step 3: Cross multiply
    401,787x = 607,864.50 × 607,864.50
  4. Step 4: Simplify right side
    401,787x = 369,499,250,360.25
  5. Step 5: Solve for x
    x = 369,499,250,360.25/401,787
  6. Step 6: Final answer
    x = 919,639.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.