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Finding the Third Proportional to 292,274 and 607,514

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Solution

The third proportional to 292,274 and 607,514 is: 1,262,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,274 : 607,514 = 607,514 : x
  2. Step 2: Convert to fraction form
    292,274/607,514 = 607,514/x
  3. Step 3: Cross multiply
    292,274x = 607,514 × 607,514
  4. Step 4: Simplify right side
    292,274x = 369,073,260,196
  5. Step 5: Solve for x
    x = 369,073,260,196/292,274
  6. Step 6: Final answer
    x = 1,262,764.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.