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Finding the Third Proportional to 232,726 and 506,924

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Solution

The third proportional to 232,726 and 506,924 is: 1,104,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,726 : 506,924 = 506,924 : x
  2. Step 2: Convert to fraction form
    232,726/506,924 = 506,924/x
  3. Step 3: Cross multiply
    232,726x = 506,924 × 506,924
  4. Step 4: Simplify right side
    232,726x = 256,971,941,776
  5. Step 5: Solve for x
    x = 256,971,941,776/232,726
  6. Step 6: Final answer
    x = 1,104,182.35

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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.