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Finding the Third Proportional to 266,658 and 375,038

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Solution

The third proportional to 266,658 and 375,038 is: 527,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,658 : 375,038 = 375,038 : x
  2. Step 2: Convert to fraction form
    266,658/375,038 = 375,038/x
  3. Step 3: Cross multiply
    266,658x = 375,038 × 375,038
  4. Step 4: Simplify right side
    266,658x = 140,653,501,444
  5. Step 5: Solve for x
    x = 140,653,501,444/266,658
  6. Step 6: Final answer
    x = 527,467.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.