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Finding the Third Proportional to 292,432 and 607,838

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Solution

The third proportional to 292,432 and 607,838 is: 1,263,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,432 : 607,838 = 607,838 : x
  2. Step 2: Convert to fraction form
    292,432/607,838 = 607,838/x
  3. Step 3: Cross multiply
    292,432x = 607,838 × 607,838
  4. Step 4: Simplify right side
    292,432x = 369,467,034,244
  5. Step 5: Solve for x
    x = 369,467,034,244/292,432
  6. Step 6: Final answer
    x = 1,263,428.88

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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.