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Finding the Third Proportional to 401,948 and 639,820.50

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Solution

The third proportional to 401,948 and 639,820.50 is: 1,018,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,948 : 639,820.50 = 639,820.50 : x
  2. Step 2: Convert to fraction form
    401,948/639,820.50 = 639,820.50/x
  3. Step 3: Cross multiply
    401,948x = 639,820.50 × 639,820.50
  4. Step 4: Simplify right side
    401,948x = 409,370,272,220.25
  5. Step 5: Solve for x
    x = 409,370,272,220.25/401,948
  6. Step 6: Final answer
    x = 1,018,465.75

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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.