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Finding the Third Proportional to 245,290.50 and 526,045.50

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Solution

The third proportional to 245,290.50 and 526,045.50 is: 1,128,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,290.50 : 526,045.50 = 526,045.50 : x
  2. Step 2: Convert to fraction form
    245,290.50/526,045.50 = 526,045.50/x
  3. Step 3: Cross multiply
    245,290.50x = 526,045.50 × 526,045.50
  4. Step 4: Simplify right side
    245,290.50x = 276,723,868,070.25
  5. Step 5: Solve for x
    x = 276,723,868,070.25/245,290.50
  6. Step 6: Final answer
    x = 1,128,147.52

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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.