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Finding the Third Proportional to 288,248 and 590,752

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Solution

The third proportional to 288,248 and 590,752 is: 1,210,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,248 : 590,752 = 590,752 : x
  2. Step 2: Convert to fraction form
    288,248/590,752 = 590,752/x
  3. Step 3: Cross multiply
    288,248x = 590,752 × 590,752
  4. Step 4: Simplify right side
    288,248x = 348,987,925,504
  5. Step 5: Solve for x
    x = 348,987,925,504/288,248
  6. Step 6: Final answer
    x = 1,210,721.06

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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.