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Finding the Third Proportional to 235,470 and 508,654

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Solution

The third proportional to 235,470 and 508,654 is: 1,098,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,470 : 508,654 = 508,654 : x
  2. Step 2: Convert to fraction form
    235,470/508,654 = 508,654/x
  3. Step 3: Cross multiply
    235,470x = 508,654 × 508,654
  4. Step 4: Simplify right side
    235,470x = 258,728,891,716
  5. Step 5: Solve for x
    x = 258,728,891,716/235,470
  6. Step 6: Final answer
    x = 1,098,776.45

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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.