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Finding the Third Proportional to 561,152 and 756,048

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Solution

The third proportional to 561,152 and 756,048 is: 1,018,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,152 : 756,048 = 756,048 : x
  2. Step 2: Convert to fraction form
    561,152/756,048 = 756,048/x
  3. Step 3: Cross multiply
    561,152x = 756,048 × 756,048
  4. Step 4: Simplify right side
    561,152x = 571,608,578,304
  5. Step 5: Solve for x
    x = 571,608,578,304/561,152
  6. Step 6: Final answer
    x = 1,018,634.13

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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.