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Finding the Third Proportional to 245,520 and 526,000

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Solution

The third proportional to 245,520 and 526,000 is: 1,126,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,520 : 526,000 = 526,000 : x
  2. Step 2: Convert to fraction form
    245,520/526,000 = 526,000/x
  3. Step 3: Cross multiply
    245,520x = 526,000 × 526,000
  4. Step 4: Simplify right side
    245,520x = 276,676,000,000
  5. Step 5: Solve for x
    x = 276,676,000,000/245,520
  6. Step 6: Final answer
    x = 1,126,898.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.