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Finding the Third Proportional to 232,896 and 499,032

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Solution

The third proportional to 232,896 and 499,032 is: 1,069,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,896 : 499,032 = 499,032 : x
  2. Step 2: Convert to fraction form
    232,896/499,032 = 499,032/x
  3. Step 3: Cross multiply
    232,896x = 499,032 × 499,032
  4. Step 4: Simplify right side
    232,896x = 249,032,937,024
  5. Step 5: Solve for x
    x = 249,032,937,024/232,896
  6. Step 6: Final answer
    x = 1,069,288.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.