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Finding the Third Proportional to 561,154 and 756,051

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Solution

The third proportional to 561,154 and 756,051 is: 1,018,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,154 : 756,051 = 756,051 : x
  2. Step 2: Convert to fraction form
    561,154/756,051 = 756,051/x
  3. Step 3: Cross multiply
    561,154x = 756,051 × 756,051
  4. Step 4: Simplify right side
    561,154x = 571,613,114,601
  5. Step 5: Solve for x
    x = 571,613,114,601/561,154
  6. Step 6: Final answer
    x = 1,018,638.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.