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Finding the Third Proportional to 232,278 and 502,572

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Solution

The third proportional to 232,278 and 502,572 is: 1,087,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,278 : 502,572 = 502,572 : x
  2. Step 2: Convert to fraction form
    232,278/502,572 = 502,572/x
  3. Step 3: Cross multiply
    232,278x = 502,572 × 502,572
  4. Step 4: Simplify right side
    232,278x = 252,578,615,184
  5. Step 5: Solve for x
    x = 252,578,615,184/232,278
  6. Step 6: Final answer
    x = 1,087,397.92

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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.