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Finding the Third Proportional to 373,692 and 537,209

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Solution

The third proportional to 373,692 and 537,209 is: 772,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,692 : 537,209 = 537,209 : x
  2. Step 2: Convert to fraction form
    373,692/537,209 = 537,209/x
  3. Step 3: Cross multiply
    373,692x = 537,209 × 537,209
  4. Step 4: Simplify right side
    373,692x = 288,593,509,681
  5. Step 5: Solve for x
    x = 288,593,509,681/373,692
  6. Step 6: Final answer
    x = 772,276.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.