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Finding the Third Proportional to 595,416 and 893,232

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Solution

The third proportional to 595,416 and 893,232 is: 1,340,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,416 : 893,232 = 893,232 : x
  2. Step 2: Convert to fraction form
    595,416/893,232 = 893,232/x
  3. Step 3: Cross multiply
    595,416x = 893,232 × 893,232
  4. Step 4: Simplify right side
    595,416x = 797,863,405,824
  5. Step 5: Solve for x
    x = 797,863,405,824/595,416
  6. Step 6: Final answer
    x = 1,340,010.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.