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Finding the Third Proportional to 510,598.50 and 715,511

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Solution

The third proportional to 510,598.50 and 715,511 is: 1,002,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,598.50 : 715,511 = 715,511 : x
  2. Step 2: Convert to fraction form
    510,598.50/715,511 = 715,511/x
  3. Step 3: Cross multiply
    510,598.50x = 715,511 × 715,511
  4. Step 4: Simplify right side
    510,598.50x = 511,955,991,121
  5. Step 5: Solve for x
    x = 511,955,991,121/510,598.50
  6. Step 6: Final answer
    x = 1,002,658.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.