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Finding the Third Proportional to 572,450 and 841,169

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Solution

The third proportional to 572,450 and 841,169 is: 1,236,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,450 : 841,169 = 841,169 : x
  2. Step 2: Convert to fraction form
    572,450/841,169 = 841,169/x
  3. Step 3: Cross multiply
    572,450x = 841,169 × 841,169
  4. Step 4: Simplify right side
    572,450x = 707,565,286,561
  5. Step 5: Solve for x
    x = 707,565,286,561/572,450
  6. Step 6: Final answer
    x = 1,236,029.85

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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.