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Finding the Third Proportional to 595,436 and 893,262

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Solution

The third proportional to 595,436 and 893,262 is: 1,340,055.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,436 : 893,262 = 893,262 : x
  2. Step 2: Convert to fraction form
    595,436/893,262 = 893,262/x
  3. Step 3: Cross multiply
    595,436x = 893,262 × 893,262
  4. Step 4: Simplify right side
    595,436x = 797,917,000,644
  5. Step 5: Solve for x
    x = 797,917,000,644/595,436
  6. Step 6: Final answer
    x = 1,340,055.02

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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.