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Finding the Third Proportional to 232,369 and 508,473

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Solution

The third proportional to 232,369 and 508,473 is: 1,112,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,369 : 508,473 = 508,473 : x
  2. Step 2: Convert to fraction form
    232,369/508,473 = 508,473/x
  3. Step 3: Cross multiply
    232,369x = 508,473 × 508,473
  4. Step 4: Simplify right side
    232,369x = 258,544,791,729
  5. Step 5: Solve for x
    x = 258,544,791,729/232,369
  6. Step 6: Final answer
    x = 1,112,647.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.