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Finding the Third Proportional to 233,006 and 508,348

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Solution

The third proportional to 233,006 and 508,348 is: 1,109,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,006 : 508,348 = 508,348 : x
  2. Step 2: Convert to fraction form
    233,006/508,348 = 508,348/x
  3. Step 3: Cross multiply
    233,006x = 508,348 × 508,348
  4. Step 4: Simplify right side
    233,006x = 258,417,689,104
  5. Step 5: Solve for x
    x = 258,417,689,104/233,006
  6. Step 6: Final answer
    x = 1,109,060.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.