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Finding the Third Proportional to 534,234 and 763,905

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Solution

The third proportional to 534,234 and 763,905 is: 1,092,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,234 : 763,905 = 763,905 : x
  2. Step 2: Convert to fraction form
    534,234/763,905 = 763,905/x
  3. Step 3: Cross multiply
    534,234x = 763,905 × 763,905
  4. Step 4: Simplify right side
    534,234x = 583,550,849,025
  5. Step 5: Solve for x
    x = 583,550,849,025/534,234
  6. Step 6: Final answer
    x = 1,092,313.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.