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Finding the Third Proportional to 235,822 and 508,989

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Solution

The third proportional to 235,822 and 508,989 is: 1,098,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,822 : 508,989 = 508,989 : x
  2. Step 2: Convert to fraction form
    235,822/508,989 = 508,989/x
  3. Step 3: Cross multiply
    235,822x = 508,989 × 508,989
  4. Step 4: Simplify right side
    235,822x = 259,069,802,121
  5. Step 5: Solve for x
    x = 259,069,802,121/235,822
  6. Step 6: Final answer
    x = 1,098,581.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.