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Finding the Third Proportional to 292,253 and 607,467

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Solution

The third proportional to 292,253 and 607,467 is: 1,262,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,253 : 607,467 = 607,467 : x
  2. Step 2: Convert to fraction form
    292,253/607,467 = 607,467/x
  3. Step 3: Cross multiply
    292,253x = 607,467 × 607,467
  4. Step 4: Simplify right side
    292,253x = 369,016,156,089
  5. Step 5: Solve for x
    x = 369,016,156,089/292,253
  6. Step 6: Final answer
    x = 1,262,659.94

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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.