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Finding the Third Proportional to 537,516 and 753,408

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Solution

The third proportional to 537,516 and 753,408 is: 1,056,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,516 : 753,408 = 753,408 : x
  2. Step 2: Convert to fraction form
    537,516/753,408 = 753,408/x
  3. Step 3: Cross multiply
    537,516x = 753,408 × 753,408
  4. Step 4: Simplify right side
    537,516x = 567,623,614,464
  5. Step 5: Solve for x
    x = 567,623,614,464/537,516
  6. Step 6: Final answer
    x = 1,056,012.50

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Why These Related Problems?

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