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Finding the Third Proportional to 537,890 and 730,896

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Solution

The third proportional to 537,890 and 730,896 is: 993,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,890 : 730,896 = 730,896 : x
  2. Step 2: Convert to fraction form
    537,890/730,896 = 730,896/x
  3. Step 3: Cross multiply
    537,890x = 730,896 × 730,896
  4. Step 4: Simplify right side
    537,890x = 534,208,962,816
  5. Step 5: Solve for x
    x = 534,208,962,816/537,890
  6. Step 6: Final answer
    x = 993,156.52

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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.