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Finding the Third Proportional to 526,394 and 786,083

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Solution

The third proportional to 526,394 and 786,083 is: 1,173,885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,394 : 786,083 = 786,083 : x
  2. Step 2: Convert to fraction form
    526,394/786,083 = 786,083/x
  3. Step 3: Cross multiply
    526,394x = 786,083 × 786,083
  4. Step 4: Simplify right side
    526,394x = 617,926,482,889
  5. Step 5: Solve for x
    x = 617,926,482,889/526,394
  6. Step 6: Final answer
    x = 1,173,885.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.