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Finding the Third Proportional to 282,276 and 413,046

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Solution

The third proportional to 282,276 and 413,046 is: 604,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,276 : 413,046 = 413,046 : x
  2. Step 2: Convert to fraction form
    282,276/413,046 = 413,046/x
  3. Step 3: Cross multiply
    282,276x = 413,046 × 413,046
  4. Step 4: Simplify right side
    282,276x = 170,606,998,116
  5. Step 5: Solve for x
    x = 170,606,998,116/282,276
  6. Step 6: Final answer
    x = 604,397.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.