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Finding the Third Proportional to 345,127.50 and 529,788.94

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Solution

The third proportional to 345,127.50 and 529,788.94 is: 813,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,127.50 : 529,788.94 = 529,788.94 : x
  2. Step 2: Convert to fraction form
    345,127.50/529,788.94 = 529,788.94/x
  3. Step 3: Cross multiply
    345,127.50x = 529,788.94 × 529,788.94
  4. Step 4: Simplify right side
    345,127.50x = 280,676,318,297.38
  5. Step 5: Solve for x
    x = 280,676,318,297.38/345,127.50
  6. Step 6: Final answer
    x = 813,254.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.