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Finding the Third Proportional to 278,943 and 604,239

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Solution

The third proportional to 278,943 and 604,239 is: 1,308,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,943 : 604,239 = 604,239 : x
  2. Step 2: Convert to fraction form
    278,943/604,239 = 604,239/x
  3. Step 3: Cross multiply
    278,943x = 604,239 × 604,239
  4. Step 4: Simplify right side
    278,943x = 365,104,769,121
  5. Step 5: Solve for x
    x = 365,104,769,121/278,943
  6. Step 6: Final answer
    x = 1,308,886.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.