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Finding the Third Proportional to 535,248 and 726,570

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Solution

The third proportional to 535,248 and 726,570 is: 986,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,248 : 726,570 = 726,570 : x
  2. Step 2: Convert to fraction form
    535,248/726,570 = 726,570/x
  3. Step 3: Cross multiply
    535,248x = 726,570 × 726,570
  4. Step 4: Simplify right side
    535,248x = 527,903,964,900
  5. Step 5: Solve for x
    x = 527,903,964,900/535,248
  6. Step 6: Final answer
    x = 986,279.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.