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Finding the Third Proportional to 510,647 and 808,212.50

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Solution

The third proportional to 510,647 and 808,212.50 is: 1,279,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,647 : 808,212.50 = 808,212.50 : x
  2. Step 2: Convert to fraction form
    510,647/808,212.50 = 808,212.50/x
  3. Step 3: Cross multiply
    510,647x = 808,212.50 × 808,212.50
  4. Step 4: Simplify right side
    510,647x = 653,207,445,156.25
  5. Step 5: Solve for x
    x = 653,207,445,156.25/510,647
  6. Step 6: Final answer
    x = 1,279,176.11

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.