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Finding the Third Proportional to 287,460 and 611,208

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Solution

The third proportional to 287,460 and 611,208 is: 1,299,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,460 : 611,208 = 611,208 : x
  2. Step 2: Convert to fraction form
    287,460/611,208 = 611,208/x
  3. Step 3: Cross multiply
    287,460x = 611,208 × 611,208
  4. Step 4: Simplify right side
    287,460x = 373,575,219,264
  5. Step 5: Solve for x
    x = 373,575,219,264/287,460
  6. Step 6: Final answer
    x = 1,299,572.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.