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Finding the Third Proportional to 473,443 and 639,860.50

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Solution

The third proportional to 473,443 and 639,860.50 is: 864,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,443 : 639,860.50 = 639,860.50 : x
  2. Step 2: Convert to fraction form
    473,443/639,860.50 = 639,860.50/x
  3. Step 3: Cross multiply
    473,443x = 639,860.50 × 639,860.50
  4. Step 4: Simplify right side
    473,443x = 409,421,459,460.25
  5. Step 5: Solve for x
    x = 409,421,459,460.25/473,443
  6. Step 6: Final answer
    x = 864,774.55

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.