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Finding the Third Proportional to 298,752 and 652,288

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Solution

The third proportional to 298,752 and 652,288 is: 1,424,190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,752 : 652,288 = 652,288 : x
  2. Step 2: Convert to fraction form
    298,752/652,288 = 652,288/x
  3. Step 3: Cross multiply
    298,752x = 652,288 × 652,288
  4. Step 4: Simplify right side
    298,752x = 425,479,634,944
  5. Step 5: Solve for x
    x = 425,479,634,944/298,752
  6. Step 6: Final answer
    x = 1,424,190.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.