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Finding the Third Proportional to 771,508.50 and 1,692,525

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Solution

The third proportional to 771,508.50 and 1,692,525 is: 3,713,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,508.50 : 1,692,525 = 1,692,525 : x
  2. Step 2: Convert to fraction form
    771,508.50/1,692,525 = 1,692,525/x
  3. Step 3: Cross multiply
    771,508.50x = 1,692,525 × 1,692,525
  4. Step 4: Simplify right side
    771,508.50x = 2,864,640,875,625
  5. Step 5: Solve for x
    x = 2,864,640,875,625/771,508.50
  6. Step 6: Final answer
    x = 3,713,038.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.