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Finding the Third Proportional to 360,454 and 526,985

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Solution

The third proportional to 360,454 and 526,985 is: 770,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,454 : 526,985 = 526,985 : x
  2. Step 2: Convert to fraction form
    360,454/526,985 = 526,985/x
  3. Step 3: Cross multiply
    360,454x = 526,985 × 526,985
  4. Step 4: Simplify right side
    360,454x = 277,713,190,225
  5. Step 5: Solve for x
    x = 277,713,190,225/360,454
  6. Step 6: Final answer
    x = 770,453.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.