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Finding the Third Proportional to 434,998 and 633,559

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Solution

The third proportional to 434,998 and 633,559 is: 922,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,998 : 633,559 = 633,559 : x
  2. Step 2: Convert to fraction form
    434,998/633,559 = 633,559/x
  3. Step 3: Cross multiply
    434,998x = 633,559 × 633,559
  4. Step 4: Simplify right side
    434,998x = 401,397,006,481
  5. Step 5: Solve for x
    x = 401,397,006,481/434,998
  6. Step 6: Final answer
    x = 922,755.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.