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Finding the Third Proportional to 357,576 and 526,488

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Solution

The third proportional to 357,576 and 526,488 is: 775,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,576 : 526,488 = 526,488 : x
  2. Step 2: Convert to fraction form
    357,576/526,488 = 526,488/x
  3. Step 3: Cross multiply
    357,576x = 526,488 × 526,488
  4. Step 4: Simplify right side
    357,576x = 277,189,614,144
  5. Step 5: Solve for x
    x = 277,189,614,144/357,576
  6. Step 6: Final answer
    x = 775,190.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.