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Finding the Third Proportional to 508,011.75 and 787,029.75

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Solution

The third proportional to 508,011.75 and 787,029.75 is: 1,219,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,011.75 : 787,029.75 = 787,029.75 : x
  2. Step 2: Convert to fraction form
    508,011.75/787,029.75 = 787,029.75/x
  3. Step 3: Cross multiply
    508,011.75x = 787,029.75 × 787,029.75
  4. Step 4: Simplify right side
    508,011.75x = 619,415,827,385.06
  5. Step 5: Solve for x
    x = 619,415,827,385.06/508,011.75
  6. Step 6: Final answer
    x = 1,219,294.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.