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Finding the Third Proportional to 354,465 and 526,132

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Solution

The third proportional to 354,465 and 526,132 is: 780,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,465 : 526,132 = 526,132 : x
  2. Step 2: Convert to fraction form
    354,465/526,132 = 526,132/x
  3. Step 3: Cross multiply
    354,465x = 526,132 × 526,132
  4. Step 4: Simplify right side
    354,465x = 276,814,881,424
  5. Step 5: Solve for x
    x = 276,814,881,424/354,465
  6. Step 6: Final answer
    x = 780,937.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.