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Finding the Third Proportional to 288,246 and 590,748

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Solution

The third proportional to 288,246 and 590,748 is: 1,210,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,246 : 590,748 = 590,748 : x
  2. Step 2: Convert to fraction form
    288,246/590,748 = 590,748/x
  3. Step 3: Cross multiply
    288,246x = 590,748 × 590,748
  4. Step 4: Simplify right side
    288,246x = 348,983,199,504
  5. Step 5: Solve for x
    x = 348,983,199,504/288,246
  6. Step 6: Final answer
    x = 1,210,713.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.