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Finding the Third Proportional to 619,351.50 and 917,514

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Solution

The third proportional to 619,351.50 and 917,514 is: 1,359,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,351.50 : 917,514 = 917,514 : x
  2. Step 2: Convert to fraction form
    619,351.50/917,514 = 917,514/x
  3. Step 3: Cross multiply
    619,351.50x = 917,514 × 917,514
  4. Step 4: Simplify right side
    619,351.50x = 841,831,940,196
  5. Step 5: Solve for x
    x = 841,831,940,196/619,351.50
  6. Step 6: Final answer
    x = 1,359,215.15

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.