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Finding the Third Proportional to 345,418 and 526,483

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Solution

The third proportional to 345,418 and 526,483 is: 802,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,418 : 526,483 = 526,483 : x
  2. Step 2: Convert to fraction form
    345,418/526,483 = 526,483/x
  3. Step 3: Cross multiply
    345,418x = 526,483 × 526,483
  4. Step 4: Simplify right side
    345,418x = 277,184,349,289
  5. Step 5: Solve for x
    x = 277,184,349,289/345,418
  6. Step 6: Final answer
    x = 802,460.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.